233172172800 has 1020 divisors, whose sum is σ = 991160999136. Its totient is φ = 53084160000.

The previous prime is 233172172777. The next prime is 233172172817. The reversal of 233172172800 is 8271271332.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 928972675 + ... + 928972925.

Almost surely, 2^233172172800 is an apocalyptic number.

233172172800 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 233172172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495580499568).

233172172800 is an abundant number, since it is smaller than the sum of its proper divisors (757988826336).

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

233172172800 is an frugal number, since it uses more digits than its factorization.

233172172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 233172172800 in words is "two hundred thirty-three billion, one hundred seventy-two million, one hundred seventy-two thousand, eight hundred".