13405069755000 has 2560 divisors, whose sum is σ = 63431855308800. Its totient is φ = 2536012800000.

The previous prime is 13405069754953. The next prime is 13405069755043. The reversal of 13405069755000 is 55796050431.

13405069755000 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 5 + 0 + 6 + 97 + 550 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 5478163777 + ... + 5478166223.

It is an arithmetic number, because the mean of its divisors is an integer number (24778068480).

Almost surely, 2^{13405069755000} is an apocalyptic number.

13405069755000 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 13405069755000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31715927654400).

13405069755000 is an abundant number, since it is smaller than the sum of its proper divisors (50026785553800).

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

13405069755000 is a wasteful number, since it uses less digits than its factorization.

13405069755000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 13405069755000 in words is "thirteen trillion, four hundred five billion, sixty-nine million, seven hundred fifty-five thousand".