365856460560 has 160 divisors (see below), whose sum is σ = 1263414672000. Its totient is φ = 97310697984.

The previous prime is 365856460549. The next prime is 365856460589. The reversal of 365856460560 is 65064658563.

365856460560 is a `hidden beast` number, since 3 + 6 + 585 + 6 + 4 + 6 + 0 + 56 + 0 = 666.

365856460560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 365856460497 and 365856460506.

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, 622531 + ... + 1057949.

It is an arithmetic number, because the mean of its divisors is an integer number (7896341700).

Almost surely, 2^365856460560 is an apocalyptic number.

365856460560 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 365856460560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631707336000).

365856460560 is an abundant number, since it is smaller than the sum of its proper divisors (897558211440).

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

365856460560 is a wasteful number, since it uses less digits than its factorization.

365856460560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435830 (or 435818 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 365856460560 in words is "three hundred sixty-five billion, eight hundred fifty-six million, four hundred sixty thousand, five hundred sixty".