10239916632160 has 192 divisors, whose sum is σ = 26318418739200. Its totient is φ = 3750657177600.

The previous prime is 10239916632157. The next prime is 10239916632161. The reversal of 10239916632160 is 6123661993201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10239916632161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78059425 + ... + 78190495.

It is an arithmetic number, because the mean of its divisors is an integer number (137075097600).

Almost surely, 2^{10239916632160} is an apocalyptic number.

10239916632160 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 10239916632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13159209369600).

10239916632160 is an abundant number, since it is smaller than the sum of its proper divisors (16078502107040).

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

10239916632160 is a wasteful number, since it uses less digits than its factorization.

10239916632160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131965 (or 131957 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

The spelling of 10239916632160 in words is "ten trillion, two hundred thirty-nine billion, nine hundred sixteen million, six hundred thirty-two thousand, one hundred sixty".