232752151680 has 512 divisors, whose sum is σ = 807809448960. Its totient is φ = 56778031104.

The previous prime is 232752151661. The next prime is 232752151703. The reversal of 232752151680 is 86151257232.

It is a super-2 number, since 2×232752151680² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265395402 + ... + 265396278.

It is an arithmetic number, because the mean of its divisors is an integer number (1577752830).

Almost surely, 2^232752151680 is an apocalyptic number.

232752151680 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 232752151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403904724480).

232752151680 is an abundant number, since it is smaller than the sum of its proper divisors (575057297280).

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

232752151680 is a wasteful number, since it uses less digits than its factorization.

232752151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 232752151680 in words is "two hundred thirty-two billion, seven hundred fifty-two million, one hundred fifty-one thousand, six hundred eighty".