232678859212800 has 10368 divisors, whose sum is σ = 1258434781269120. Its totient is φ = 41736889958400.

The previous prime is 232678859212771. The next prime is 232678859212823. The reversal of 232678859212800 is 8212958876232.

It is a happy number.

232678859212800 is a `hidden beast` number, since 2 + 3 + 26 + 7 + 8 + 8 + 592 + 12 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10368).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1482030950322 + ... + 1482030950478.

It is an arithmetic number, because the mean of its divisors is an integer number (121376811465).

Almost surely, 2^{232678859212800} is an apocalyptic number.

232678859212800 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 232678859212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629217390634560).

232678859212800 is an abundant number, since it is smaller than the sum of its proper divisors (1025755922056320).

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

232678859212800 is a wasteful number, since it uses less digits than its factorization.

232678859212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 232678859212800 in words is "two hundred thirty-two trillion, six hundred seventy-eight billion, eight hundred fifty-nine million, two hundred twelve thousand, eight hundred".