390053005072 has 40 divisors (see below), whose sum is σ = 800376167736. Its totient is φ = 183509876736.

The previous prime is 390053005049. The next prime is 390053005129. The reversal of 390053005072 is 270500350093.

It can be written as a sum of positive squares in 4 ways, for example, as 264541520896 + 125511484176 = 514336^2 + 354276^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 964488 + ... + 1307800.

Almost surely, 2^390053005072 is an apocalyptic number.

It is an amenable number.

390053005072 is an abundant number, since it is smaller than the sum of its proper divisors (410323162664).

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

390053005072 is a wasteful number, since it uses less digits than its factorization.

390053005072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347515 (or 347509 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 34.

The spelling of 390053005072 in words is "three hundred ninety billion, fifty-three million, five thousand, seventy-two".