557481957552 has 180 divisors, whose sum is σ = 1700769938400. Its totient is φ = 170380574208.

The previous prime is 557481957511. The next prime is 557481957583. The reversal of 557481957552 is 255759184755.

557481957552 is a `hidden beast` number, since 5 + 5 + 7 + 4 + 8 + 1 + 9 + 575 + 52 = 666.

It is a super-2 number, since 2×557481957552² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 557481957552.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3549193 + ... + 3702935.

It is an arithmetic number, because the mean of its divisors is an integer number (9448721880).

Almost surely, 2^557481957552 is an apocalyptic number.

557481957552 is a gapful number since it is divisible by the number (52) 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 557481957552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850384969200).

557481957552 is an abundant number, since it is smaller than the sum of its proper divisors (1143287980848).

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

557481957552 is a wasteful number, since it uses less digits than its factorization.

557481957552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153932 (or 153910 counting only the distinct ones).

The product of its digits is 88200000, while the sum is 63.

The spelling of 557481957552 in words is "five hundred fifty-seven billion, four hundred eighty-one million, nine hundred fifty-seven thousand, five hundred fifty-two".