380285075520 has 336 divisors, whose sum is σ = 1501603783680. Its totient is φ = 86531493888.

The previous prime is 380285075501. The next prime is 380285075549. The reversal of 380285075520 is 25570582083.

380285075520 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 8 + 50 + 75 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 4453386 + ... + 4537974.

It is an arithmetic number, because the mean of its divisors is an integer number (4469058880).

Almost surely, 2^380285075520 is an apocalyptic number.

380285075520 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 380285075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750801891840).

380285075520 is an abundant number, since it is smaller than the sum of its proper divisors (1121318708160).

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

380285075520 is a wasteful number, since it uses less digits than its factorization.

380285075520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84842 (or 84829 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 380285075520 in words is "three hundred eighty billion, two hundred eighty-five million, seventy-five thousand, five hundred twenty".