390775050000 has 240 divisors, whose sum is σ = 1402001516160. Its totient is φ = 104206320000.

The previous prime is 390775049981. The next prime is 390775050007. The reversal of 390775050000 is 50577093.

390775050000 is a `hidden beast` number, since 39 + 0 + 77 + 50 + 500 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (390775050007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205269 + ... + 1494731.

It is an arithmetic number, because the mean of its divisors is an integer number (5841672984).

Almost surely, 2^390775050000 is an apocalyptic number.

390775050000 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 390775050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701000758080).

390775050000 is an abundant number, since it is smaller than the sum of its proper divisors (1011226466160).

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

390775050000 is an equidigital number, since it uses as much as digits as its factorization.

390775050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289505 (or 289473 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The spelling of 390775050000 in words is "three hundred ninety billion, seven hundred seventy-five million, fifty thousand".