88509820032 has 96 divisors (see below), whose sum is σ = 254946214380. Its totient is φ = 29474316288.

The previous prime is 88509820031. The next prime is 88509820037. The reversal of 88509820032 is 23002890588.

It can be written as a sum of positive squares in 2 ways, for example, as 88408696896 + 101123136 = 297336^2 + 10056^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 88509820032.

It is not an unprimeable number, because it can be changed into a prime (88509820031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1152828 + ... + 1227204.

Almost surely, 2^88509820032 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 88509820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127473107190).

88509820032 is an abundant number, since it is smaller than the sum of its proper divisors (166436394348).

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

88509820032 is a wasteful number, since it uses less digits than its factorization.

88509820032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75430 (or 75415 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 88509820032 in words is "eighty-eight billion, five hundred nine million, eight hundred twenty thousand, thirty-two".