10597940087616 has 840 divisors, whose sum is σ = 37981466961984. Its totient is φ = 2815012085760.

The previous prime is 10597940087597. The next prime is 10597940087663. The reversal of 10597940087616 is 61678004979501.

10597940087616 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 7 + 9 + 4 + 0 + 0 + 8 + 7 + 616 = 666.

It is a super-2 number, since 2×10597940087616² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1951376421 + ... + 1951381851.

Almost surely, 2^{10597940087616} is an apocalyptic number.

10597940087616 is a gapful number since it is divisible by the number (16) 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 10597940087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990733480992).

10597940087616 is an abundant number, since it is smaller than the sum of its proper divisors (27383526874368).

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

10597940087616 is an equidigital number, since it uses as much as digits as its factorization.

10597940087616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5577 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 10597940087616 in words is "ten trillion, five hundred ninety-seven billion, nine hundred forty million, eighty-seven thousand, six hundred sixteen".