382150560960 has 840 divisors, whose sum is σ = 1590528756960. Its totient is φ = 86840377344.

The previous prime is 382150560959. The next prime is 382150560983. The reversal of 382150560960 is 69065051283.

382150560960 is a `hidden beast` number, since 3 + 8 + 21 + 5 + 0 + 560 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×382150560960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 245124661 + ... + 245126219.

Almost surely, 2^382150560960 is an apocalyptic number.

382150560960 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 382150560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795264378480).

382150560960 is an abundant number, since it is smaller than the sum of its proper divisors (1208378196000).

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

382150560960 is a wasteful number, since it uses less digits than its factorization.

382150560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 382150560960 in words is "three hundred eighty-two billion, one hundred fifty million, five hundred sixty thousand, nine hundred sixty".