88800259680 has 576 divisors, whose sum is σ = 346448793600. Its totient is φ = 20513525760.

The previous prime is 88800259657. The next prime is 88800259729. The reversal of 88800259680 is 8695200888.

It is a super-2 number, since 2×88800259680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36288217 + ... + 36290663.

It is an arithmetic number, because the mean of its divisors is an integer number (601473600).

Almost surely, 2^88800259680 is an apocalyptic number.

88800259680 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 88800259680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173224396800).

88800259680 is an abundant number, since it is smaller than the sum of its proper divisors (257648533920).

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

88800259680 is a wasteful number, since it uses less digits than its factorization.

88800259680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 88800259680 in words is "eighty-eight billion, eight hundred million, two hundred fifty-nine thousand, six hundred eighty".