10588840320 has 256 divisors, whose sum is σ = 36417574080. Its totient is φ = 2607022080.

The previous prime is 10588840319. The next prime is 10588840333. The reversal of 10588840320 is 2304888501.

It is a super-2 number, since 2×10588840320² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 1726860 + ... + 1732980.

Almost surely, 2^10588840320 is an apocalyptic number.

10588840320 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 10588840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18208787040).

10588840320 is an abundant number, since it is smaller than the sum of its proper divisors (25828733760).

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

10588840320 is a wasteful number, since it uses less digits than its factorization.

10588840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6213 (or 6201 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 10588840320 in words is "ten billion, five hundred eighty-eight million, eight hundred forty thousand, three hundred twenty".