10597257216000 has 3072 divisors, whose sum is σ = 49092237043200. Its totient is φ = 2235904819200.

The previous prime is 10597257215981. The next prime is 10597257216017. The reversal of 10597257216000 is 61275279501.

10597257216000 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 72 + 572 + 1 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×10597257216000² (a number of 27 digits) contains 22 as substring.

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, 815173631994 + ... + 815173632006.

Almost surely, 2^{10597257216000} is an apocalyptic number.

10597257216000 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 10597257216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24546118521600).

10597257216000 is an abundant number, since it is smaller than the sum of its proper divisors (38494979827200).

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

10597257216000 is an frugal number, since it uses more digits than its factorization.

10597257216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 10597257216000 in words is "ten trillion, five hundred ninety-seven billion, two hundred fifty-seven million, two hundred sixteen thousand".