13405315397760 has 1920 divisors, whose sum is σ = 58507288519680. Its totient is φ = 2902475980800.

The previous prime is 13405315397737. The next prime is 13405315397783. The reversal of 13405315397760 is 6779351350431.

It is a happy number.

13405315397760 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 5 + 31 + 539 + 7 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13405315397737) and next prime (13405315397783).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13405315397697 and 13405315397706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2527871269 + ... + 2527876571.

It is an arithmetic number, because the mean of its divisors is an integer number (30472546104).

Almost surely, 2^{13405315397760} is an apocalyptic number.

13405315397760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13405315397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29253644259840).

13405315397760 is an abundant number, since it is smaller than the sum of its proper divisors (45101973121920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13405315397760 is a wasteful number, since it uses less digits than its factorization.

13405315397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 13405315397760 in words is "thirteen trillion, four hundred five billion, three hundred fifteen million, three hundred ninety-seven thousand, seven hundred sixty".