232871284800 has 2016 divisors, whose sum is σ = 1099999059840. Its totient is φ = 47377612800.

The previous prime is 232871284781. The next prime is 232871284801. The reversal of 232871284800 is 8482178232.

232871284800 is a `hidden beast` number, since 23 + 28 + 7 + 128 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×232871284800² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (232871284801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1699790332 + ... + 1699790468.

Almost surely, 2^232871284800 is an apocalyptic number.

232871284800 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 232871284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549999529920).

232871284800 is an abundant number, since it is smaller than the sum of its proper divisors (867127775040).

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

232871284800 is a wasteful number, since it uses less digits than its factorization.

232871284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 232871284800 in words is "two hundred thirty-two billion, eight hundred seventy-one million, two hundred eighty-four thousand, eight hundred".