13153038958080 has 2560 divisors, whose sum is σ = 58830520320000. Its totient is φ = 2717579870208.

The previous prime is 13153038958079. The next prime is 13153038958091. The reversal of 13153038958080 is 8085983035131.

13153038958080 is a `hidden beast` number, since 1 + 3 + 1 + 53 + 0 + 3 + 8 + 9 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27459371281 + ... + 27459371759.

It is an arithmetic number, because the mean of its divisors is an integer number (22980672000).

Almost surely, 2^{13153038958080} is an apocalyptic number.

13153038958080 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 13153038958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29415260160000).

13153038958080 is an abundant number, since it is smaller than the sum of its proper divisors (45677481361920).

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

13153038958080 is a wasteful number, since it uses less digits than its factorization.

13153038958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 13153038958080 in words is "thirteen trillion, one hundred fifty-three billion, thirty-eight million, nine hundred fifty-eight thousand, eighty".