380572899777000 has 1152 divisors, whose sum is σ = 1520191528876800. Its totient is φ = 85606609536000.

The previous prime is 380572899776987. The next prime is 380572899777029. The reversal of 380572899777000 is 777998275083.

380572899777000 is a `hidden beast` number, since 380 + 5 + 7 + 28 + 99 + 77 + 70 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 380572899777000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17628082206 + ... + 17628103794.

It is an arithmetic number, because the mean of its divisors is an integer number (1319610702150).

Almost surely, 2^{380572899777000} is an apocalyptic number.

380572899777000 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 380572899777000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760095764438400).

380572899777000 is an abundant number, since it is smaller than the sum of its proper divisors (1139618629099800).

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

380572899777000 is a wasteful number, since it uses less digits than its factorization.

380572899777000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22264 (or 22240 counting only the distinct ones).

The product of its (nonzero) digits is 373403520, while the sum is 72.

The spelling of 380572899777000 in words is "three hundred eighty trillion, five hundred seventy-two billion, eight hundred ninety-nine million, seven hundred seventy-seven thousand".