10006052864 has 30 divisors (see below), whose sum is σ = 20011527774. Its totient is φ = 5003018240.

The previous prime is 10006052851. The next prime is 10006052879. The reversal of 10006052864 is 46825060001.

It can be written as a sum of positive squares in only one way, i.e., 9093529600 + 912523264 = 95360^2 + 30208^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10006052864.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 288977 + ... + 321744.

Almost surely, 2^10006052864 is an apocalyptic number.

It is an amenable number.

10006052864 is a deficient number, since it is larger than the sum of its proper divisors (10005474910).

10006052864 is an frugal number, since it uses more digits than its factorization.

10006052864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610749 (or 610723 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 10006052864 in words is "ten billion, six million, fifty-two thousand, eight hundred sixty-four".