390111160320 has 288 divisors, whose sum is σ = 1545208479360. Its totient is φ = 89168117760.

The previous prime is 390111160273. The next prime is 390111160379. The reversal of 390111160320 is 23061111093.

390111160320 is a `hidden beast` number, since 39 + 0 + 1 + 1 + 1 + 1 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342765 + ... + 947475.

It is an arithmetic number, because the mean of its divisors is an integer number (5365307220).

Almost surely, 2^390111160320 is an apocalyptic number.

390111160320 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 390111160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772604239680).

390111160320 is an abundant number, since it is smaller than the sum of its proper divisors (1155097319040).

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

390111160320 is a wasteful number, since it uses less digits than its factorization.

390111160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604751 (or 604728 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 390111160320 in words is "three hundred ninety billion, one hundred eleven million, one hundred sixty thousand, three hundred twenty".