88160947200 has 198 divisors, whose sum is σ = 315658724004. Its totient is φ = 23509524480.

The previous prime is 88160947183. The next prime is 88160947243. The reversal of 88160947200 is 274906188.

It is a super-2 number, since 2×88160947200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39079 + ... + 421721.

Almost surely, 2^88160947200 is an apocalyptic number.

88160947200 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 88160947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157829362002).

88160947200 is an abundant number, since it is smaller than the sum of its proper divisors (227497776804).

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

88160947200 is a wasteful number, since it uses less digits than its factorization.

88160947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382679 (or 382653 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 88160947200 in words is "eighty-eight billion, one hundred sixty million, nine hundred forty-seven thousand, two hundred".