557972229240 has 640 divisors, whose sum is σ = 1973835325440. Its totient is φ = 141228831744.

The previous prime is 557972229233. The next prime is 557972229259. The reversal of 557972229240 is 42922279755.

557972229240 is a `hidden beast` number, since 5 + 579 + 7 + 2 + 2 + 29 + 2 + 40 = 666.

It is a super-2 number, since 2×557972229240² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1020058647 + ... + 1020059193.

It is an arithmetic number, because the mean of its divisors is an integer number (3084117696).

Almost surely, 2^557972229240 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 557972229240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986917662720).

557972229240 is an abundant number, since it is smaller than the sum of its proper divisors (1415863096200).

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

557972229240 is a wasteful number, since it uses less digits than its factorization.

557972229240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 557972229240 in words is "five hundred fifty-seven billion, nine hundred seventy-two million, two hundred twenty-nine thousand, two hundred forty".