557741498688 has 896 divisors, whose sum is σ = 1932617318400. Its totient is φ = 156067430400.

The previous prime is 557741498603. The next prime is 557741498777. The reversal of 557741498688 is 886894147755.

It is a happy number.

557741498688 is a `hidden beast` number, since 5 + 5 + 7 + 74 + 1 + 498 + 68 + 8 = 666.

557741498688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×557741498688² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 2170200256 + ... + 2170200512.

Almost surely, 2^557741498688 is an apocalyptic number.

557741498688 is a gapful number since it is divisible by the number (58) 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 557741498688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966308659200).

557741498688 is an abundant number, since it is smaller than the sum of its proper divisors (1374875819712).

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

557741498688 is a wasteful number, since it uses less digits than its factorization.

557741498688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 460 counting only the distinct ones).

The product of its digits is 541900800, while the sum is 72.

The spelling of 557741498688 in words is "five hundred fifty-seven billion, seven hundred forty-one million, four hundred ninety-eight thousand, six hundred eighty-eight".