10025902656 has 280 divisors, whose sum is σ = 37054877376. Its totient is φ = 2604026880.

The previous prime is 10025902597. The next prime is 10025902657. The reversal of 10025902656 is 65620952001.

10025902656 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 590 + 2 + 65 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10025902656.

It is not an unprimeable number, because it can be changed into a prime (10025902657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 386610 + ... + 411726.

Almost surely, 2^10025902656 is an apocalyptic number.

10025902656 is a gapful number since it is divisible by the number (16) 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 10025902656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18527438688).

10025902656 is an abundant number, since it is smaller than the sum of its proper divisors (27028974720).

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

10025902656 is a wasteful number, since it uses less digits than its factorization.

10025902656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25159 (or 25140 counting only the distinct ones).

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

The spelling of 10025902656 in words is "ten billion, twenty-five million, nine hundred two thousand, six hundred fifty-six".