321139057680 has 180 divisors, whose sum is σ = 1254572466732. Its totient is φ = 73403205120.

The previous prime is 321139057643. The next prime is 321139057703. The reversal of 321139057680 is 86750931123.

321139057680 is a `hidden beast` number, since 32 + 11 + 39 + 0 + 576 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127989355536 + 193149702144 = 357756^2 + 439488^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 4516011 + ... + 4586570.

Almost surely, 2^321139057680 is an apocalyptic number.

321139057680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321139057680 is an abundant number, since it is smaller than the sum of its proper divisors (933433409052).

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

321139057680 is a wasteful number, since it uses less digits than its factorization.

321139057680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9102614 (or 9102598 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 321139057680 in words is "three hundred twenty-one billion, one hundred thirty-nine million, fifty-seven thousand, six hundred eighty".