232078937317920 has 3072 divisors, whose sum is σ = 1096032301056000. Its totient is φ = 44420692377600.

The previous prime is 232078937317889. The next prime is 232078937317939. The reversal of 232078937317920 is 29713739870232.

232078937317920 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 78 + 9 + 373 + 179 + 20 = 666.

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 511 ways as a sum of consecutive naturals, for example, 102282474546 + ... + 102282476814.

It is an arithmetic number, because the mean of its divisors is an integer number (356781348000).

Almost surely, 2^{232078937317920} is an apocalyptic number.

232078937317920 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 232078937317920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548016150528000).

232078937317920 is an abundant number, since it is smaller than the sum of its proper divisors (863953363738080).

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

232078937317920 is a wasteful number, since it uses less digits than its factorization.

232078937317920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 232078937317920 in words is "two hundred thirty-two trillion, seventy-eight billion, nine hundred thirty-seven million, three hundred seventeen thousand, nine hundred twenty".