88811517984 has 96 divisors (see below), whose sum is σ = 266617443456. Its totient is φ = 25357301760.

The previous prime is 88811517967. The next prime is 88811518051. The reversal of 88811517984 is 48971511888.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 950614 + ... + 1039850.

It is an arithmetic number, because the mean of its divisors is an integer number (2777265036).

Almost surely, 2^88811517984 is an apocalyptic number.

88811517984 is a gapful number since it is divisible by the number (84) 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 88811517984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133308721728).

88811517984 is an abundant number, since it is smaller than the sum of its proper divisors (177805925472).

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

88811517984 is a wasteful number, since it uses less digits than its factorization.

88811517984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90738 (or 90730 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 60.

The spelling of 88811517984 in words is "eighty-eight billion, eight hundred eleven million, five hundred seventeen thousand, nine hundred eighty-four".