382015887120 has 640 divisors, whose sum is σ = 1529319260160. Its totient is φ = 86920128000.

The previous prime is 382015887079. The next prime is 382015887167. The reversal of 382015887120 is 21788510283.

382015887120 is a `hidden beast` number, since 38 + 20 + 1 + 588 + 7 + 12 + 0 = 666.

382015887120 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×382015887120² (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 127 ways as a sum of consecutive naturals, for example, 331898545 + ... + 331899695.

It is an arithmetic number, because the mean of its divisors is an integer number (2389561344).

Almost surely, 2^382015887120 is an apocalyptic number.

382015887120 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 382015887120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764659630080).

382015887120 is an abundant number, since it is smaller than the sum of its proper divisors (1147303373040).

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

382015887120 is a wasteful number, since it uses less digits than its factorization.

382015887120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 382015887120 in words is "three hundred eighty-two billion, fifteen million, eight hundred eighty-seven thousand, one hundred twenty".