385509058560 has 384 divisors, whose sum is σ = 1393649712000. Its totient is φ = 101055725568.

The previous prime is 385509058541. The next prime is 385509058609. The reversal of 385509058560 is 65850905583.

385509058560 is a `hidden beast` number, since 3 + 8 + 5 + 50 + 9 + 0 + 585 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 385509058497 and 385509058506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16300504 + ... + 16324136.

It is an arithmetic number, because the mean of its divisors is an integer number (3629296125).

Almost surely, 2^385509058560 is an apocalyptic number.

385509058560 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 385509058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696824856000).

385509058560 is an abundant number, since it is smaller than the sum of its proper divisors (1008140653440).

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

385509058560 is a wasteful number, since it uses less digits than its factorization.

385509058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23728 (or 23702 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 385509058560 in words is "three hundred eighty-five billion, five hundred nine million, fifty-eight thousand, five hundred sixty".