88872805200 has 120 divisors (see below), whose sum is σ = 285237654336. Its totient is φ = 23653760000.

The previous prime is 88872805199. The next prime is 88872805237. The reversal of 88872805200 is 250827888.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 88872805200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554125 + ... + 696275.

Almost surely, 2^88872805200 is an apocalyptic number.

88872805200 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 88872805200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142618827168).

88872805200 is an abundant number, since it is smaller than the sum of its proper divisors (196364849136).

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

88872805200 is a wasteful number, since it uses less digits than its factorization.

88872805200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142693 (or 142682 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 88872805200 in words is "eighty-eight billion, eight hundred seventy-two million, eight hundred five thousand, two hundred".