88052832000 has 1440 divisors, whose sum is σ = 392615967744. Its totient is φ = 19160064000.

The previous prime is 88052831969. The next prime is 88052832011. The reversal of 88052832000 is 23825088.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 417311895 + ... + 417312105.

Almost surely, 2^88052832000 is an apocalyptic number.

88052832000 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 88052832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196307983872).

88052832000 is an abundant number, since it is smaller than the sum of its proper divisors (304563135744).

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

88052832000 is a wasteful number, since it uses less digits than its factorization.

88052832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 88052832000 in words is "eighty-eight billion, fifty-two million, eight hundred thirty-two thousand".