88517677864 has 256 divisors, whose sum is σ = 219098880000. Its totient is φ = 32528563200.

The previous prime is 88517677861. The next prime is 88517677883. The reversal of 88517677864 is 46877671588.

Its product of digits (126443520) is a multiple of the sum of its prime factors (784).

It is a self number, because there is not a number n which added to its sum of digits gives 88517677864.

It is not an unprimeable number, because it can be changed into a prime (88517677861) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 177389887 + ... + 177390385.

It is an arithmetic number, because the mean of its divisors is an integer number (855855000).

Almost surely, 2^88517677864 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 88517677864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109549440000).

88517677864 is an abundant number, since it is smaller than the sum of its proper divisors (130581202136).

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

88517677864 is a wasteful number, since it uses less digits than its factorization.

88517677864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 780 counting only the distinct ones).

The product of its digits is 126443520, while the sum is 67.

The spelling of 88517677864 in words is "eighty-eight billion, five hundred seventeen million, six hundred seventy-seven thousand, eight hundred sixty-four".