575657340000 has 960 divisors, whose sum is σ = 2057551372800. Its totient is φ = 140507136000.

The previous prime is 575657339993. The next prime is 575657340001. The reversal of 575657340000 is 43756575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575657340001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5281259946 + ... + 5281260054.

It is an arithmetic number, because the mean of its divisors is an integer number (2143282680).

Almost surely, 2^575657340000 is an apocalyptic number.

575657340000 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 575657340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028775686400).

575657340000 is an abundant number, since it is smaller than the sum of its proper divisors (1481894032800).

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

575657340000 is a wasteful number, since it uses less digits than its factorization.

575657340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 42.

The spelling of 575657340000 in words is "five hundred seventy-five billion, six hundred fifty-seven million, three hundred forty thousand".