88516800000 has 600 divisors, whose sum is σ = 330711536232. Its totient is φ = 23569920000.

The previous prime is 88516799999. The next prime is 88516800007. The reversal of 88516800000 is 861588.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88516800007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 129599659 + ... + 129600341.

Almost surely, 2^88516800000 is an apocalyptic number.

88516800000 is a gapful number since it is divisible by the number (80) 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 88516800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165355768116).

88516800000 is an abundant number, since it is smaller than the sum of its proper divisors (242194736232).

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

88516800000 is an frugal number, since it uses more digits than its factorization.

88516800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 88516800000 in words is "eighty-eight billion, five hundred sixteen million, eight hundred thousand".