390873217512960 has 4800 divisors, whose sum is σ = 1784304862179840. Its totient is φ = 78512321986560.

The previous prime is 390873217512941. The next prime is 390873217512989. The reversal of 390873217512960 is 69215712378093.

390873217512960 is a `hidden beast` number, since 3 + 9 + 0 + 8 + 7 + 3 + 21 + 7 + 512 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1984128007582 + ... + 1984128007778.

Almost surely, 2^{390873217512960} is an apocalyptic number.

390873217512960 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 390873217512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892152431089920).

390873217512960 is an abundant number, since it is smaller than the sum of its proper divisors (1393431644666880).

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

390873217512960 is a wasteful number, since it uses less digits than its factorization.

390873217512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 390873217512960 in words is "three hundred ninety trillion, eight hundred seventy-three billion, two hundred seventeen million, five hundred twelve thousand, nine hundred sixty".