575220096000 has 704 divisors, whose sum is σ = 2319423275520. Its totient is φ = 139438080000.

The previous prime is 575220095987. The next prime is 575220096001. The reversal of 575220096000 is 690022575.

575220096000 is a `hidden beast` number, since 575 + 2 + 20 + 0 + 9 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575220096001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38008435 + ... + 38023565.

Almost surely, 2^575220096000 is an apocalyptic number.

575220096000 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 575220096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159711637760).

575220096000 is an abundant number, since it is smaller than the sum of its proper divisors (1744203179520).

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

575220096000 is a wasteful number, since it uses less digits than its factorization.

575220096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15186 (or 15152 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 575220096000 in words is "five hundred seventy-five billion, two hundred twenty million, ninety-six thousand".