320495105700000 has 3456 divisors, whose sum is σ = 1483628373706752. Its totient is φ = 66111552000000.

The previous prime is 320495105699999. The next prime is 320495105700013. The reversal of 320495105700000 is 7501594023.

320495105700000 is a `hidden beast` number, since 32 + 0 + 4 + 9 + 51 + 0 + 570 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×320495105700000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 293762699455 + ... + 293762700545.

It is an arithmetic number, because the mean of its divisors is an integer number (429290617392).

Almost surely, 2^{320495105700000} is an apocalyptic number.

320495105700000 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 320495105700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741814186853376).

320495105700000 is an abundant number, since it is smaller than the sum of its proper divisors (1163133268006752).

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

320495105700000 is a wasteful number, since it uses less digits than its factorization.

320495105700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 320495105700000 in words is "three hundred twenty trillion, four hundred ninety-five billion, one hundred five million, seven hundred thousand".