386857199508480 has 1408 divisors, whose sum is σ = 1477400325811200. Its totient is φ = 95652390371328.

The previous prime is 386857199508473. The next prime is 386857199508517. The reversal of 386857199508480 is 84805991758683.

386857199508480 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 57 + 19 + 9 + 508 + 48 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 386857199508480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73926463944 + ... + 73926469176.

Almost surely, 2^{386857199508480} is an apocalyptic number.

386857199508480 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 386857199508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738700162905600).

386857199508480 is an abundant number, since it is smaller than the sum of its proper divisors (1090543126302720).

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

386857199508480 is a wasteful number, since it uses less digits than its factorization.

386857199508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 4180377600, while the sum is 81.

The spelling of 386857199508480 in words is "three hundred eighty-six trillion, eight hundred fifty-seven billion, one hundred ninety-nine million, five hundred eight thousand, four hundred eighty".