13000877568000 has 2496 divisors, whose sum is σ = 59258045059200. Its totient is φ = 2794350182400.

The previous prime is 13000877567969. The next prime is 13000877568037. The reversal of 13000877568000 is 86577800031.

13000877568000 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 0 + 87 + 7 + 568 + 0 + 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 191 ways as a sum of consecutive naturals, for example, 11515391436 + ... + 11515392564.

It is an arithmetic number, because the mean of its divisors is an integer number (23741203950).

Almost surely, 2^{13000877568000} is an apocalyptic number.

13000877568000 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 13000877568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29629022529600).

13000877568000 is an abundant number, since it is smaller than the sum of its proper divisors (46257167491200).

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

13000877568000 is a wasteful number, since it uses less digits than its factorization.

13000877568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 13000877568000 in words is "thirteen trillion, eight hundred seventy-seven million, five hundred sixty-eight thousand".