390538680082200 has 360 divisors, whose sum is σ = 1468763092615500. Its totient is φ = 96132597500160.

The previous prime is 390538680082163. The next prime is 390538680082217. The reversal of 390538680082200 is 2280086835093.

390538680082200 is a `hidden beast` number, since 3 + 9 + 0 + 538 + 6 + 8 + 0 + 0 + 82 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 68585650 + ... + 74061249.

Almost surely, 2^{390538680082200} is an apocalyptic number.

390538680082200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

390538680082200 is an abundant number, since it is smaller than the sum of its proper divisors (1078224412533300).

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

390538680082200 is a wasteful number, since it uses less digits than its factorization.

390538680082200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142646953 (or 142646922 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 390538680082200 in words is "three hundred ninety trillion, five hundred thirty-eight billion, six hundred eighty million, eighty-two thousand, two hundred".