13087516295904 has 192 divisors, whose sum is σ = 37090451059200. Its totient is φ = 4028301268992.

The previous prime is 13087516295897. The next prime is 13087516295923. The reversal of 13087516295904 is 40959261578031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548294082 + ... + 548317950.

It is an arithmetic number, because the mean of its divisors is an integer number (193179432600).

It is a 1-persistent number, because it is pandigital, but 2⋅13087516295904 = 26175032591808 is not.

Almost surely, 2^{13087516295904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13087516295904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18545225529600).

13087516295904 is an abundant number, since it is smaller than the sum of its proper divisors (24002934763296).

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

13087516295904 is a wasteful number, since it uses less digits than its factorization.

13087516295904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32497 (or 32489 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 13087516295904 in words is "thirteen trillion, eighty-seven billion, five hundred sixteen million, two hundred ninety-five thousand, nine hundred four".