232957132800 has 1080 divisors, whose sum is σ = 925462235376. Its totient is φ = 51527024640.

The previous prime is 232957132799. The next prime is 232957132823. The reversal of 232957132800 is 8231759232.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3191193564 + ... + 3191193636.

Almost surely, 2^232957132800 is an apocalyptic number.

232957132800 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 232957132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462731117688).

232957132800 is an abundant number, since it is smaller than the sum of its proper divisors (692505102576).

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

232957132800 is an equidigital number, since it uses as much as digits as its factorization.

232957132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 232957132800 in words is "two hundred thirty-two billion, nine hundred fifty-seven million, one hundred thirty-two thousand, eight hundred".