575557662238440 has 1024 divisors, whose sum is σ = 2175229624320000. Its totient is φ = 121423886115840.

The previous prime is 575557662238411. The next prime is 575557662238487. The reversal of 575557662238440 is 44832266755575.

It is a happy number.

It is a super-2 number, since 2×575557662238440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10183408501 + ... + 10183465019.

It is an arithmetic number, because the mean of its divisors is an integer number (2124247680000).

Almost surely, 2^{575557662238440} 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 575557662238440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087614812160000).

575557662238440 is an abundant number, since it is smaller than the sum of its proper divisors (1599671962081560).

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

575557662238440 is a wasteful number, since it uses less digits than its factorization.

575557662238440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56955 (or 56937 counting only the distinct ones).

The product of its (nonzero) digits is 1693440000, while the sum is 69.

The spelling of 575557662238440 in words is "five hundred seventy-five trillion, five hundred fifty-seven billion, six hundred sixty-two million, two hundred thirty-eight thousand, four hundred forty".