88801638912 has 480 divisors, whose sum is σ = 304034290560. Its totient is φ = 24424611840.

The previous prime is 88801638853. The next prime is 88801638979. The reversal of 88801638912 is 21983610888.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109766764 + ... + 109767572.

It is an arithmetic number, because the mean of its divisors is an integer number (633404772).

Almost surely, 2^88801638912 is an apocalyptic number.

88801638912 is a gapful number since it is divisible by the number (82) 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 88801638912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152017145280).

88801638912 is an abundant number, since it is smaller than the sum of its proper divisors (215232651648).

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

88801638912 is a wasteful number, since it uses less digits than its factorization.

88801638912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 88801638912 in words is "eighty-eight billion, eight hundred one million, six hundred thirty-eight thousand, nine hundred twelve".