88052160000 has 400 divisors, whose sum is σ = 335027556864. Its totient is φ = 20124672000.

The previous prime is 88052159953. The next prime is 88052160017. The reversal of 88052160000 is 6125088.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 88052160000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6713449 + ... + 6726551.

Almost surely, 2^88052160000 is an apocalyptic number.

88052160000 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 88052160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167513778432).

88052160000 is an abundant number, since it is smaller than the sum of its proper divisors (246975396864).

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

88052160000 is an equidigital number, since it uses as much as digits as its factorization.

88052160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13151 (or 13120 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 88052160000 its reverse (6125088), we get a palindrome (88058285088).

The spelling of 88052160000 in words is "eighty-eight billion, fifty-two million, one hundred sixty thousand".