10059531264 has 132 divisors (see below), whose sum is σ = 30123226224. Its totient is φ = 3353094144.

The previous prime is 10059531259. The next prime is 10059531283. The reversal of 10059531264 is 46213595001.

10059531264 is a `hidden beast` number, since 1 + 0 + 0 + 595 + 3 + 1 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228619 + ... + 269045.

Almost surely, 2^10059531264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10059531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15061613112).

10059531264 is an abundant number, since it is smaller than the sum of its proper divisors (20063694960).

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

10059531264 is an frugal number, since it uses more digits than its factorization.

10059531264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40462 (or 40432 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10059531264 in words is "ten billion, fifty-nine million, five hundred thirty-one thousand, two hundred sixty-four".