13108516440480 has 288 divisors, whose sum is σ = 47519174102400. Its totient is φ = 3281242576896.

The previous prime is 13108516440469. The next prime is 13108516440491. The reversal of 13108516440480 is 8404461580131.

13108516440480 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 8 + 5 + 164 + 4 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (13108516440469) and next prime (13108516440491).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 784477 + ... + 5180003.

It is an arithmetic number, because the mean of its divisors is an integer number (164997132300).

Almost surely, 2^{13108516440480} is an apocalyptic number.

13108516440480 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 13108516440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23759587051200).

13108516440480 is an abundant number, since it is smaller than the sum of its proper divisors (34410657661920).

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

13108516440480 is a wasteful number, since it uses less digits than its factorization.

13108516440480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395676 (or 4395665 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 13108516440480 in words is "thirteen trillion, one hundred eight billion, five hundred sixteen million, four hundred forty thousand, four hundred eighty".