385659308160 has 1024 divisors, whose sum is σ = 1628605440000. Its totient is φ = 84415758336.

The previous prime is 385659308113. The next prime is 385659308171. The reversal of 385659308160 is 61803956583.

385659308160 is a `hidden beast` number, since 38 + 5 + 6 + 593 + 0 + 8 + 16 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 385659308097 and 385659308106.

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, 275667141 + ... + 275668539.

It is an arithmetic number, because the mean of its divisors is an integer number (1590435000).

Almost surely, 2^385659308160 is an apocalyptic number.

385659308160 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 385659308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814302720000).

385659308160 is an abundant number, since it is smaller than the sum of its proper divisors (1242946131840).

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

385659308160 is a wasteful number, since it uses less digits than its factorization.

385659308160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 385659308160 in words is "three hundred eighty-five billion, six hundred fifty-nine million, three hundred eight thousand, one hundred sixty".