321135883230960 has 480 divisors, whose sum is σ = 1235056361190912. Its totient is φ = 73253353605120.

The previous prime is 321135883230931. The next prime is 321135883230971. The reversal of 321135883230960 is 69032388531123.

321135883230960 is a `hidden beast` number, since 3 + 21 + 1 + 3 + 588 + 3 + 2 + 30 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×321135883230960² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321135883230897 and 321135883230906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6370328155 + ... + 6370378565.

Almost surely, 2^{321135883230960} is an apocalyptic number.

321135883230960 is a gapful number since it is divisible by the number (30) 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 321135883230960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617528180595456).

321135883230960 is an abundant number, since it is smaller than the sum of its proper divisors (913920477959952).

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

321135883230960 is a wasteful number, since it uses less digits than its factorization.

321135883230960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52981 (or 52972 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 321135883230960 in words is "three hundred twenty-one trillion, one hundred thirty-five billion, eight hundred eighty-three million, two hundred thirty thousand, nine hundred sixty".