390375505056 has 96 divisors (see below), whose sum is σ = 1045201510080. Its totient is φ = 127539449856.

The previous prime is 390375505049. The next prime is 390375505057. The reversal of 390375505056 is 650505573093.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 390375504996 and 390375505014.

It is not an unprimeable number, because it can be changed into a prime (390375505057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1806510 + ... + 2011026.

It is an arithmetic number, because the mean of its divisors is an integer number (10887515730).

Almost surely, 2^390375505056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390375505056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522600755040).

390375505056 is an abundant number, since it is smaller than the sum of its proper divisors (654826005024).

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

390375505056 is a wasteful number, since it uses less digits than its factorization.

390375505056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204926 (or 204918 counting only the distinct ones).

The product of its (nonzero) digits is 2126250, while the sum is 48.

The spelling of 390375505056 in words is "three hundred ninety billion, three hundred seventy-five million, five hundred five thousand, fifty-six".