88167424900 has 81 divisors (see below), whose sum is σ = 200158427973. Its totient is φ = 33707493600.

The previous prime is 88167424889. The next prime is 88167424913. The reversal of 88167424900 is 942476188.

It is a happy number.

The square root of 88167424900 is 296930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31740272964 + 56427151936 = 178158^2 + 237544^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 68293255 + ... + 68294545.

Almost surely, 2^88167424900 is an apocalyptic number.

88167424900 is the 296930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88167424900

88167424900 is an abundant number, since it is smaller than the sum of its proper divisors (111991003073).

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

88167424900 is a wasteful number, since it uses less digits than its factorization.

88167424900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 88167424900 by its sum of digits (49), we get a square (4320203820100 = 2078510²).

The spelling of 88167424900 in words is "eighty-eight billion, one hundred sixty-seven million, four hundred twenty-four thousand, nine hundred".