10597408320 has 224 divisors, whose sum is σ = 35913535488. Its totient is φ = 2638282752.

The previous prime is 10597408319. The next prime is 10597408363. The reversal of 10597408320 is 2380479501.

It is a super-2 number, since 2×10597408320² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2070084 + ... + 2075196.

Almost surely, 2^10597408320 is an apocalyptic number.

10597408320 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 10597408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17956767744).

10597408320 is an abundant number, since it is smaller than the sum of its proper divisors (25316127168).

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

10597408320 is a wasteful number, since it uses less digits than its factorization.

10597408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5277 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 10597408320 in words is "ten billion, five hundred ninety-seven million, four hundred eight thousand, three hundred twenty".