10506957288 has 64 divisors (see below), whose sum is σ = 28603368000. Its totient is φ = 3203569152.

The previous prime is 10506957283. The next prime is 10506957289. The reversal of 10506957288 is 88275960501.

It is a super-2 number, since 2×10506957288² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10506957288.

It is not an unprimeable number, because it can be changed into a prime (10506957283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384045 + ... + 410492.

It is an arithmetic number, because the mean of its divisors is an integer number (446927625).

Almost surely, 2^10506957288 is an apocalyptic number.

It is an amenable number.

10506957288 is an abundant number, since it is smaller than the sum of its proper divisors (18096410712).

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

10506957288 is a wasteful number, since it uses less digits than its factorization.

10506957288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794594 (or 794590 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 10506957288 in words is "ten billion, five hundred six million, nine hundred fifty-seven thousand, two hundred eighty-eight".