382563084660120 has 1536 divisors, whose sum is σ = 1673710134220800. Its totient is φ = 75842788589568.

The previous prime is 382563084660073. The next prime is 382563084660131. The reversal of 382563084660120 is 21066480365283.

382563084660120 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 6 + 3 + 0 + 8 + 4 + 6 + 601 + 20 = 666.

It is a super-2 number, since 2×382563084660120² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13401151687 + ... + 13401180233.

It is an arithmetic number, because the mean of its divisors is an integer number (1089655035300).

Almost surely, 2^{382563084660120} is an apocalyptic number.

382563084660120 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 382563084660120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836855067110400).

382563084660120 is an abundant number, since it is smaller than the sum of its proper divisors (1291147049560680).

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

382563084660120 is a wasteful number, since it uses less digits than its factorization.

382563084660120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29234 (or 29211 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 382563084660120 in words is "three hundred eighty-two trillion, five hundred sixty-three billion, eighty-four million, six hundred sixty thousand, one hundred twenty".