10088799264 has 96 divisors (see below), whose sum is σ = 29457267840. Its totient is φ = 3359321856.

The previous prime is 10088799257. The next prime is 10088799269. The reversal of 10088799264 is 46299788001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10088799264.

It is not an unprimeable number, because it can be changed into a prime (10088799269) 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, 869469 + ... + 880995.

It is an arithmetic number, because the mean of its divisors is an integer number (306846540).

Almost surely, 2^10088799264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10088799264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14728633920).

10088799264 is an abundant number, since it is smaller than the sum of its proper divisors (19368468576).

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

10088799264 is a wasteful number, since it uses less digits than its factorization.

10088799264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12559 (or 12545 counting only the distinct ones).

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

The spelling of 10088799264 in words is "ten billion, eighty-eight million, seven hundred ninety-nine thousand, two hundred sixty-four".