557092963440 has 640 divisors, whose sum is σ = 2192259686400. Its totient is φ = 128815349760.

The previous prime is 557092963397. The next prime is 557092963447. The reversal of 557092963440 is 44369290755.

557092963440 is a `hidden beast` number, since 5 + 5 + 7 + 0 + 9 + 296 + 344 + 0 = 666.

It is a super-2 number, since 2×557092963440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557092963447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 387138241 + ... + 387139679.

It is an arithmetic number, because the mean of its divisors is an integer number (3425405760).

Almost surely, 2^557092963440 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 557092963440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096129843200).

557092963440 is an abundant number, since it is smaller than the sum of its proper divisors (1635166722960).

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

557092963440 is a wasteful number, since it uses less digits than its factorization.

557092963440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 557092963440 in words is "five hundred fifty-seven billion, ninety-two million, nine hundred sixty-three thousand, four hundred forty".