88259258880 has 800 divisors, whose sum is σ = 352484470800. Its totient is φ = 20957626368.

The previous prime is 88259258827. The next prime is 88259258897. The reversal of 88259258880 is 8885295288.

It can be written as a sum of positive squares in 8 ways, for example, as 7047938304 + 81211320576 = 83952^2 + 284976^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78174156 + ... + 78175284.

Almost surely, 2^88259258880 is an apocalyptic number.

88259258880 is a gapful number since it is divisible by the number (80) 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 88259258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176242235400).

88259258880 is an abundant number, since it is smaller than the sum of its proper divisors (264225211920).

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

88259258880 is a wasteful number, since it uses less digits than its factorization.

88259258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 63.

The spelling of 88259258880 in words is "eighty-eight billion, two hundred fifty-nine million, two hundred fifty-eight thousand, eight hundred eighty".