231029985600 has 252 divisors, whose sum is σ = 829270388700. Its totient is φ = 60997632000.

The previous prime is 231029985587. The next prime is 231029985617. The reversal of 231029985600 is 6589920132.

231029985600 is a `hidden beast` number, since 2 + 3 + 10 + 29 + 9 + 8 + 5 + 600 = 666.

231029985600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8555510016 + 222474475584 = 92496^2 + 471672^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1374976 + ... + 1533824.

Almost surely, 2^231029985600 is an apocalyptic number.

231029985600 is a gapful number since it is divisible by the number (20) 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 231029985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414635194350).

231029985600 is an abundant number, since it is smaller than the sum of its proper divisors (598240403100).

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

231029985600 is a wasteful number, since it uses less digits than its factorization.

231029985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158978 (or 158960 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 231029985600 in words is "two hundred thirty-one billion, twenty-nine million, nine hundred eighty-five thousand, six hundred".