380978565120 has 312 divisors, whose sum is σ = 1377995651136. Its totient is φ = 97176059904.

The previous prime is 380978565017. The next prime is 380978565167. The reversal of 380978565120 is 21565879083.

380978565120 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 78 + 56 + 512 + 0 = 666.

It is a super-2 number, since 2×380978565120² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4194427 + ... + 4284293.

It is an arithmetic number, because the mean of its divisors is an integer number (4416652728).

Almost surely, 2^380978565120 is an apocalyptic number.

380978565120 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 380978565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688997825568).

380978565120 is an abundant number, since it is smaller than the sum of its proper divisors (997017086016).

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

380978565120 is a wasteful number, since it uses less digits than its factorization.

380978565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89925 (or 89900 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 380978565120 in words is "three hundred eighty billion, nine hundred seventy-eight million, five hundred sixty-five thousand, one hundred twenty".