10124298960 has 160 divisors (see below), whose sum is σ = 33503569920. Its totient is φ = 2521612800.

The previous prime is 10124298929. The next prime is 10124298973. The reversal of 10124298960 is 6989242101.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308125 + ... + 339395.

It is an arithmetic number, because the mean of its divisors is an integer number (209397312).

Almost surely, 2^10124298960 is an apocalyptic number.

10124298960 is a gapful number since it is divisible by the number (10) 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 10124298960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16751784960).

10124298960 is an abundant number, since it is smaller than the sum of its proper divisors (23379270960).

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

10124298960 is a wasteful number, since it uses less digits than its factorization.

10124298960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31377 (or 31371 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 10124298960 in words is "ten billion, one hundred twenty-four million, two hundred ninety-eight thousand, nine hundred sixty".