88876976832 has 252 divisors, whose sum is σ = 304358680080. Its totient is φ = 24288777216.

The previous prime is 88876976827. The next prime is 88876976857. The reversal of 88876976832 is 23867967888.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2112094 + ... + 2153762.

It is an arithmetic number, because the mean of its divisors is an integer number (1207772540).

Almost surely, 2^88876976832 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 88876976832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152179340040).

88876976832 is an abundant number, since it is smaller than the sum of its proper divisors (215481703248).

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

88876976832 is a wasteful number, since it uses less digits than its factorization.

88876976832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41740 (or 41704 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 88876976832 in words is "eighty-eight billion, eight hundred seventy-six million, nine hundred seventy-six thousand, eight hundred thirty-two".