10568588464 has 80 divisors (see below), whose sum is σ = 23649280000. Its totient is φ = 4481713152.

The previous prime is 10568588449. The next prime is 10568588483. The reversal of 10568588464 is 46488586501.

It is a super-2 number, since 2×10568588464² (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 15 ways as a sum of consecutive naturals, for example, 7097032 + ... + 7098520.

It is an arithmetic number, because the mean of its divisors is an integer number (295616000).

Almost surely, 2^10568588464 is an apocalyptic number.

10568588464 is a gapful number since it is divisible by the number (14) 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 10568588464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11824640000).

10568588464 is an abundant number, since it is smaller than the sum of its proper divisors (13080691536).

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

10568588464 is a wasteful number, since it uses less digits than its factorization.

10568588464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 55.

The spelling of 10568588464 in words is "ten billion, five hundred sixty-eight million, five hundred eighty-eight thousand, four hundred sixty-four".