557661963600 has 1260 divisors, whose sum is σ = 2414009243520. Its totient is φ = 123255820800.

The previous prime is 557661963581. The next prime is 557661963619. The reversal of 557661963600 is 6369166755.

557661963600 is a `hidden beast` number, since 5 + 576 + 6 + 1 + 9 + 6 + 3 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (557661963581) and next prime (557661963619).

It is a tau number, because it is divible by the number of its divisors (1260).

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 polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 442939771 + ... + 442941029.

It is an arithmetic number, because the mean of its divisors is an integer number (1915880352).

Almost surely, 2^557661963600 is an apocalyptic number.

557661963600 is a gapful number since it is divisible by the number (50) 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 557661963600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207004621760).

557661963600 is an abundant number, since it is smaller than the sum of its proper divisors (1856347279920).

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

557661963600 is a wasteful number, since it uses less digits than its factorization.

557661963600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 557661963600 in words is "five hundred fifty-seven billion, six hundred sixty-one million, nine hundred sixty-three thousand, six hundred".