10079813760 has 64 divisors (see below), whose sum is σ = 32129412480. Its totient is φ = 2687949824.

The previous prime is 10079813753. The next prime is 10079813761. The reversal of 10079813760 is 6731897001.

It is a tau number, because it is divible by the number of its divisors (64).

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 not an unprimeable number, because it can be changed into a prime (10079813761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2623032 + ... + 2626871.

It is an arithmetic number, because the mean of its divisors is an integer number (502022070).

Almost surely, 2^10079813760 is an apocalyptic number.

10079813760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10079813760 is an abundant number, since it is smaller than the sum of its proper divisors (22049598720).

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

10079813760 is an equidigital number, since it uses as much as digits as its factorization.

10079813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249925 (or 5249913 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 10079813760 in words is "ten billion, seventy-nine million, eight hundred thirteen thousand, seven hundred sixty".