10025712288 has 72 divisors (see below), whose sum is σ = 29206034676. Its totient is φ = 3260390400.

The previous prime is 10025712271. The next prime is 10025712341. The reversal of 10025712288 is 88221752001.

10025712288 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 571 + 2 + 2 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9680198544 + 345513744 = 98388^2 + 18588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412723 + ... + 436338.

Almost surely, 2^10025712288 is an apocalyptic number.

10025712288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10025712288 is an abundant number, since it is smaller than the sum of its proper divisors (19180322388).

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

10025712288 is a wasteful number, since it uses less digits than its factorization.

10025712288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849118 (or 849107 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 10025712288 in words is "ten billion, twenty-five million, seven hundred twelve thousand, two hundred eighty-eight".