13000859751600 has 1440 divisors, whose sum is σ = 56149338752000. Its totient is φ = 2776293273600.

The previous prime is 13000859751569. The next prime is 13000859751611. The reversal of 13000859751600 is 615795800031.

It is a happy number.

13000859751600 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 0 + 8 + 597 + 51 + 6 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1712663805 + ... + 1712671395.

Almost surely, 2^{13000859751600} is an apocalyptic number.

13000859751600 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 13000859751600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28074669376000).

13000859751600 is an abundant number, since it is smaller than the sum of its proper divisors (43148479000400).

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

13000859751600 is a wasteful number, since it uses less digits than its factorization.

13000859751600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728 (or 7700 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 13000859751600 in words is "thirteen trillion, eight hundred fifty-nine million, seven hundred fifty-one thousand, six hundred".