380251186920 has 384 divisors, whose sum is σ = 1411285524480. Its totient is φ = 87950016000.

The previous prime is 380251186853. The next prime is 380251186979. The reversal of 380251186920 is 29681152083.

380251186920 is a `hidden beast` number, since 38 + 0 + 2 + 511 + 86 + 9 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 8694147 + ... + 8737773.

It is an arithmetic number, because the mean of its divisors is an integer number (3675222720).

Almost surely, 2^380251186920 is an apocalyptic number.

380251186920 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 380251186920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705642762240).

380251186920 is an abundant number, since it is smaller than the sum of its proper divisors (1031034337560).

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

380251186920 is a wasteful number, since it uses less digits than its factorization.

380251186920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43757 (or 43750 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 380251186920 in words is "three hundred eighty billion, two hundred fifty-one million, one hundred eighty-six thousand, nine hundred twenty".