88563431880 has 768 divisors, whose sum is σ = 385460674560. Its totient is φ = 17069875200.

The previous prime is 88563431849. The next prime is 88563431893. The reversal of 88563431880 is 8813436588.

88563431880 is a `hidden beast` number, since 88 + 56 + 3 + 431 + 8 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33456717 + ... + 33459363.

It is an arithmetic number, because the mean of its divisors is an integer number (501901920).

Almost surely, 2^88563431880 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 88563431880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192730337280).

88563431880 is an abundant number, since it is smaller than the sum of its proper divisors (296897242680).

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

88563431880 is a wasteful number, since it uses less digits than its factorization.

88563431880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 88563431880 in words is "eighty-eight billion, five hundred sixty-three million, four hundred thirty-one thousand, eight hundred eighty".