382655117295360 has 2880 divisors, whose sum is σ = 1723737953710080. Its totient is φ = 78905941032960.

The previous prime is 382655117295329. The next prime is 382655117295511. The reversal of 382655117295360 is 63592711556283.

382655117295360 is a `hidden beast` number, since 3 + 8 + 2 + 6 + 5 + 511 + 7 + 2 + 9 + 53 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×382655117295360³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 93811009801 + ... + 93811013879.

It is an arithmetic number, because the mean of its divisors is an integer number (598520122816).

Almost surely, 2^{382655117295360} is an apocalyptic number.

382655117295360 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 382655117295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861868976855040).

382655117295360 is an abundant number, since it is smaller than the sum of its proper divisors (1341082836414720).

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

382655117295360 is a wasteful number, since it uses less digits than its factorization.

382655117295360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 382655117295360 in words is "three hundred eighty-two trillion, six hundred fifty-five billion, one hundred seventeen million, two hundred ninety-five thousand, three hundred sixty".