88851919200 has 432 divisors, whose sum is σ = 333020310336. Its totient is φ = 20403993600.

The previous prime is 88851919193. The next prime is 88851919241. The reversal of 88851919200 is 291915888.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9525739 + ... + 9535061.

It is an arithmetic number, because the mean of its divisors is an integer number (770880348).

Almost surely, 2^88851919200 is an apocalyptic number.

88851919200 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 88851919200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166510155168).

88851919200 is an abundant number, since it is smaller than the sum of its proper divisors (244168391136).

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

88851919200 is a wasteful number, since it uses less digits than its factorization.

88851919200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9395 (or 9363 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 51.

The spelling of 88851919200 in words is "eighty-eight billion, eight hundred fifty-one million, nine hundred nineteen thousand, two hundred".