557369017920000 has 2400 divisors, whose sum is σ = 2440491415010880. Its totient is φ = 124722892800000.

The previous prime is 557369017919993. The next prime is 557369017920079. The reversal of 557369017920000 is 29710963755.

557369017920000 is a `hidden beast` number, since 5 + 5 + 7 + 369 + 0 + 1 + 79 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×557369017920000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13590699495 + ... + 13590740505.

Almost surely, 2^{557369017920000} is an apocalyptic number.

557369017920000 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 557369017920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220245707505440).

557369017920000 is an abundant number, since it is smaller than the sum of its proper divisors (1883122397090880).

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

557369017920000 is a wasteful number, since it uses less digits than its factorization.

557369017920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41093 (or 41045 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 557369017920000 in words is "five hundred fifty-seven trillion, three hundred sixty-nine billion, seventeen million, nine hundred twenty thousand".