88080556032 has 784 divisors, whose sum is σ = 315156494400. Its totient is φ = 24580620288.

The previous prime is 88080556027. The next prime is 88080556049. The reversal of 88080556032 is 23065508088.

It is a happy number.

88080556032 is a `hidden beast` number, since 8 + 8 + 0 + 80 + 5 + 560 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (784).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2048385003 + ... + 2048385045.

Almost surely, 2^88080556032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88080556032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157578247200).

88080556032 is an abundant number, since it is smaller than the sum of its proper divisors (227075938368).

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

88080556032 is an frugal number, since it uses more digits than its factorization.

88080556032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 88080556032 in words is "eighty-eight billion, eighty million, five hundred fifty-six thousand, thirty-two".