88082752325760 has 192 divisors, whose sum is σ = 304188452919000. Its totient is φ = 23486594924544.

The previous prime is 88082752325753. The next prime is 88082752325783. The reversal of 88082752325760 is 6752325728088.

It is a happy number.

88082752325760 is a `hidden beast` number, since 8 + 8 + 0 + 8 + 2 + 7 + 52 + 3 + 2 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51251739177024 + 36831013148736 = 7159032^2 + 6068856^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 63066676 + ... + 64448204.

Almost surely, 2^{88082752325760} is an apocalyptic number.

88082752325760 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 88082752325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152094226459500).

88082752325760 is an abundant number, since it is smaller than the sum of its proper divisors (216105700593240).

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

88082752325760 is a wasteful number, since it uses less digits than its factorization.

88082752325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392623 (or 1392608 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 88082752325760 in words is "eighty-eight trillion, eighty-two billion, seven hundred fifty-two million, three hundred twenty-five thousand, seven hundred sixty".