10153630656 has 84 divisors (see below), whose sum is σ = 31342306632. Its totient is φ = 3124191744.

The previous prime is 10153630649. The next prime is 10153630679. The reversal of 10153630656 is 65603635101.

10153630656 is a `hidden beast` number, since 1 + 0 + 15 + 3 + 630 + 6 + 5 + 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 10153630656.

It is a congruent number.

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, 670506 + ... + 685481.

It is an arithmetic number, because the mean of its divisors is an integer number (373122698).

Almost surely, 2^10153630656 is an apocalyptic number.

10153630656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10153630656 is an abundant number, since it is smaller than the sum of its proper divisors (21188675976).

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

10153630656 is a wasteful number, since it uses less digits than its factorization.

10153630656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356018 (or 1356005 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 10153630656 in words is "ten billion, one hundred fifty-three million, six hundred thirty thousand, six hundred fifty-six".