321153796080 has 720 divisors, whose sum is σ = 1230062520960. Its totient is φ = 77819968512.

The previous prime is 321153796027. The next prime is 321153796123. The reversal of 321153796080 is 80697351123.

321153796080 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 5 + 37 + 9 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220118391 + ... + 220119849.

It is an arithmetic number, because the mean of its divisors is an integer number (1708420168).

Almost surely, 2^321153796080 is an apocalyptic number.

321153796080 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 321153796080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615031260480).

321153796080 is an abundant number, since it is smaller than the sum of its proper divisors (908908724880).

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

321153796080 is a wasteful number, since it uses less digits than its factorization.

321153796080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1549 counting only the distinct ones).

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

The spelling of 321153796080 in words is "three hundred twenty-one billion, one hundred fifty-three million, seven hundred ninety-six thousand, eighty".