379960233055200 has 864 divisors, whose sum is σ = 1539657205632000. Its totient is φ = 86371050332160.

The previous prime is 379960233055199. The next prime is 379960233055213. The reversal of 379960233055200 is 2550332069973.

379960233055200 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 60 + 23 + 3 + 0 + 552 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24803193141 + ... + 24803208459.

Almost surely, 2^{379960233055200} is an apocalyptic number.

379960233055200 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 379960233055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769828602816000).

379960233055200 is an abundant number, since it is smaller than the sum of its proper divisors (1159696972576800).

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

379960233055200 is a wasteful number, since it uses less digits than its factorization.

379960233055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18024 (or 18008 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 54.

The spelling of 379960233055200 in words is "three hundred seventy-nine trillion, nine hundred sixty billion, two hundred thirty-three million, fifty-five thousand, two hundred".