575654047056 has 960 divisors, whose sum is σ = 2057731153920. Its totient is φ = 147885834240.

The previous prime is 575654047049. The next prime is 575654047057. The reversal of 575654047056 is 650740456575.

It is a happy number.

575654047056 is a `hidden beast` number, since 5 + 7 + 5 + 6 + 540 + 47 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 575654046993 and 575654047011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575654047057) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 889727725 + ... + 889728371.

It is an arithmetic number, because the mean of its divisors is an integer number (2143469952).

Almost surely, 2^575654047056 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 575654047056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028865576960).

575654047056 is an abundant number, since it is smaller than the sum of its proper divisors (1482077106864).

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

575654047056 is a wasteful number, since it uses less digits than its factorization.

575654047056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 575654047056 in words is "five hundred seventy-five billion, six hundred fifty-four million, forty-seven thousand, fifty-six".