93531988900 has 243 divisors, whose sum is σ = 251786443881. Its totient is φ = 30064312320.

The previous prime is 93531988889. The next prime is 93531989009. The reversal of 93531988900 is 988913539.

The square root of 93531988900 is 305830.

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

It can be written as a sum of positive squares in 13 ways, for example, as 77053284 + 93454935616 = 8778^2 + 305704^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 363937572 + ... + 363937828.

Almost surely, 2^93531988900 is an apocalyptic number.

93531988900 is the 305830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93531988900

93531988900 is an abundant number, since it is smaller than the sum of its proper divisors (158254454981).

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

93531988900 is a wasteful number, since it uses less digits than its factorization.

93531988900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 55.

The spelling of 93531988900 in words is "ninety-three billion, five hundred thirty-one million, nine hundred eighty-eight thousand, nine hundred".