232086127680 has 1008 divisors, whose sum is σ = 934322508288. Its totient is φ = 52383744000.

The previous prime is 232086127643. The next prime is 232086127811. The reversal of 232086127680 is 86721680232.

232086127680 is a `hidden beast` number, since 2 + 3 + 20 + 8 + 612 + 7 + 6 + 8 + 0 = 666.

232086127680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×232086127680² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 825929140 + ... + 825929420.

Almost surely, 2^232086127680 is an apocalyptic number.

232086127680 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 232086127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467161254144).

232086127680 is an abundant number, since it is smaller than the sum of its proper divisors (702236380608).

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

232086127680 is a wasteful number, since it uses less digits than its factorization.

232086127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 232086127680 in words is "two hundred thirty-two billion, eighty-six million, one hundred twenty-seven thousand, six hundred eighty".