10131496960 has 224 divisors, whose sum is σ = 26752783680. Its totient is φ = 3660054528.

The previous prime is 10131496957. The next prime is 10131496961. The reversal of 10131496960 is 6969413101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131496961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28221261 + ... + 28221619.

It is an arithmetic number, because the mean of its divisors is an integer number (119432070).

Almost surely, 2^10131496960 is an apocalyptic number.

10131496960 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 10131496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13376391840).

10131496960 is an abundant number, since it is smaller than the sum of its proper divisors (16621286720).

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

10131496960 is an equidigital number, since it uses as much as digits as its factorization.

10131496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 10131496960 in words is "ten billion, one hundred thirty-one million, four hundred ninety-six thousand, nine hundred sixty".