380856180096 has 1024 divisors, whose sum is σ = 1396339200000. Its totient is φ = 101931540480.

The previous prime is 380856180079. The next prime is 380856180137. The reversal of 380856180096 is 690081658083.

380856180096 is a `hidden beast` number, since 380 + 85 + 6 + 180 + 0 + 9 + 6 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1663127310 + ... + 1663127538.

It is an arithmetic number, because the mean of its divisors is an integer number (1363612500).

Almost surely, 2^380856180096 is an apocalyptic number.

380856180096 is a gapful number since it is divisible by the number (36) 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 380856180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698169600000).

380856180096 is an abundant number, since it is smaller than the sum of its proper divisors (1015483019904).

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

380856180096 is a wasteful number, since it uses less digits than its factorization.

380856180096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 380856180096 in words is "three hundred eighty billion, eight hundred fifty-six million, one hundred eighty thousand, ninety-six".