575199072000 has 432 divisors, whose sum is σ = 2365418607552. Its totient is φ = 131473612800.

The previous prime is 575199071999. The next prime is 575199072013. The reversal of 575199072000 is 270991575.

575199072000 is a `hidden beast` number, since 575 + 1 + 9 + 9 + 0 + 72 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×575199072000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1873342 + ... + 2158658.

It is an arithmetic number, because the mean of its divisors is an integer number (5475506036).

Almost surely, 2^575199072000 is an apocalyptic number.

575199072000 is a gapful number since it is divisible by the number (50) 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 575199072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182709303776).

575199072000 is an abundant number, since it is smaller than the sum of its proper divisors (1790219535552).

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

575199072000 is a wasteful number, since it uses less digits than its factorization.

575199072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285361 (or 285334 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The spelling of 575199072000 in words is "five hundred seventy-five billion, one hundred ninety-nine million, seventy-two thousand".