390820655056320 has 560 divisors, whose sum is σ = 1417238341995168. Its totient is φ = 102211559424000.

The previous prime is 390820655056189. The next prime is 390820655056331. The reversal of 390820655056320 is 23650556028093.

390820655056320 is a `hidden beast` number, since 3 + 9 + 0 + 8 + 2 + 0 + 6 + 5 + 50 + 563 + 20 = 666.

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 79 ways as a sum of consecutive naturals, for example, 294073320 + ... + 295399320.

Almost surely, 2^{390820655056320} is an apocalyptic number.

390820655056320 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 390820655056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708619170997584).

390820655056320 is an abundant number, since it is smaller than the sum of its proper divisors (1026417686938848).

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

390820655056320 is a wasteful number, since it uses less digits than its factorization.

390820655056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326250 (or 1326231 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 390820655056320 in words is "three hundred ninety trillion, eight hundred twenty billion, six hundred fifty-five million, fifty-six thousand, three hundred twenty".