10597109034720 has 96 divisors (see below), whose sum is σ = 35948654515872. Its totient is φ = 2608519145472.

The previous prime is 10597109034713. The next prime is 10597109034727. The reversal of 10597109034720 is 2743090179501.

It is an interprime number because it is at equal distance from previous prime (10597109034713) and next prime (10597109034727).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10597109034720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10597109034720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10597109034727) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 849121087 + ... + 849133566.

It is an arithmetic number, because the mean of its divisors is an integer number (374465151207).

Almost surely, 2^{10597109034720} is an apocalyptic number.

10597109034720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10597109034720 is an abundant number, since it is smaller than the sum of its proper divisors (25351545481152).

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

10597109034720 is a wasteful number, since it uses less digits than its factorization.

10597109034720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698254684 (or 1698254676 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 10597109034720 in words is "ten trillion, five hundred ninety-seven billion, one hundred nine million, thirty-four thousand, seven hundred twenty".