10088979264 has 504 divisors, whose sum is σ = 37438023168. Its totient is φ = 2572093440.

The previous prime is 10088979253. The next prime is 10088979317. The reversal of 10088979264 is 46297988001.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 10088979264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11373829 + ... + 11374715.

It is an arithmetic number, because the mean of its divisors is an integer number (74281792).

Almost surely, 2^10088979264 is an apocalyptic number.

10088979264 is a gapful number since it is divisible by the number (14) 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 10088979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18719011584).

10088979264 is an abundant number, since it is smaller than the sum of its proper divisors (27349043904).

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

10088979264 is a wasteful number, since it uses less digits than its factorization.

10088979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10088979264 in words is "ten billion, eighty-eight million, nine hundred seventy-nine thousand, two hundred sixty-four".