380540160000 has 2880 divisors, whose sum is σ = 1905612508800. Its totient is φ = 72990720000.

The previous prime is 380540159977. The next prime is 380540160041. The reversal of 380540160000 is 61045083.

380540160000 is a `hidden beast` number, since 3 + 8 + 0 + 54 + 0 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29272319994 + ... + 29272320006.

It is an arithmetic number, because the mean of its divisors is an integer number (661671010).

Almost surely, 2^380540160000 is an apocalyptic number.

380540160000 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 380540160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952806254400).

380540160000 is an abundant number, since it is smaller than the sum of its proper divisors (1525072348800).

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

380540160000 is a wasteful number, since it uses less digits than its factorization.

380540160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 380540160000 in words is "three hundred eighty billion, five hundred forty million, one hundred sixty thousand".