88869572100 has 243 divisors, whose sum is σ = 294552438453. Its totient is φ = 22408332480.

The previous prime is 88869572083. The next prime is 88869572159. The reversal of 88869572100 is 127596888.

The square root of 88869572100 is 298110.

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

88869572100 is a `hidden beast` number, since 8 + 8 + 8 + 69 + 572 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31993045956 + 56876526144 = 178866^2 + 238488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 169922439 + ... + 169922961.

Almost surely, 2^88869572100 is an apocalyptic number.

88869572100 is the 298110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88869572100

88869572100 is an abundant number, since it is smaller than the sum of its proper divisors (205682866353).

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

88869572100 is a wasteful number, since it uses less digits than its factorization.

88869572100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

It can be divided in two parts, 88869 and 572100, that added together give a square (660969 = 813²).

The spelling of 88869572100 in words is "eighty-eight billion, eight hundred sixty-nine million, five hundred seventy-two thousand, one hundred".