88032825760 has 192 divisors, whose sum is σ = 230722007040. Its totient is φ = 31473377280.

The previous prime is 88032825739. The next prime is 88032825773. The reversal of 88032825760 is 6752823088.

It is a happy number.

It is a super-2 number, since 2×88032825760² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 49206946 + ... + 49208734.

It is an arithmetic number, because the mean of its divisors is an integer number (1201677120).

Almost surely, 2^88032825760 is an apocalyptic number.

88032825760 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 88032825760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115361003520).

88032825760 is an abundant number, since it is smaller than the sum of its proper divisors (142689181280).

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

88032825760 is a wasteful number, since it uses less digits than its factorization.

88032825760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 88032825760 in words is "eighty-eight billion, thirty-two million, eight hundred twenty-five thousand, seven hundred sixty".