10254768960 has 112 divisors (see below), whose sum is σ = 33974568576. Its totient is φ = 2615703552.

The previous prime is 10254768919. The next prime is 10254768973. The reversal of 10254768960 is 6986745201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210139 + ... + 254298.

Almost surely, 2^10254768960 is an apocalyptic number.

10254768960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10254768960 is an abundant number, since it is smaller than the sum of its proper divisors (23719799616).

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

10254768960 is a wasteful number, since it uses less digits than its factorization.

10254768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464480 (or 464470 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 10254768960 in words is "ten billion, two hundred fifty-four million, seven hundred sixty-eight thousand, nine hundred sixty".