575601124560 has 640 divisors, whose sum is σ = 2436786892800. Its totient is φ = 108686376960.

The previous prime is 575601124547. The next prime is 575601124591. The reversal of 575601124560 is 65421106575.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9079051 + ... + 9142229.

It is an arithmetic number, because the mean of its divisors is an integer number (3807479520).

Almost surely, 2^575601124560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575601124560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218393446400).

575601124560 is an abundant number, since it is smaller than the sum of its proper divisors (1861185768240).

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

575601124560 is a wasteful number, since it uses less digits than its factorization.

575601124560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63259 (or 63253 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 575601124560 in words is "five hundred seventy-five billion, six hundred one million, one hundred twenty-four thousand, five hundred sixty".