557638799155200 has 3360 divisors, whose sum is σ = 2499716126856960. Its totient is φ = 120171921408000.

The previous prime is 557638799155183. The next prime is 557638799155201. The reversal of 557638799155200 is 2551997836755.

557638799155200 is a `hidden beast` number, since 5 + 5 + 7 + 6 + 3 + 8 + 7 + 9 + 91 + 5 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×557638799155200² (a number of 30 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 not an unprimeable number, because it can be changed into a prime (557638799155201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 144803633275 + ... + 144803637125.

Almost surely, 2^{557638799155200} is an apocalyptic number.

557638799155200 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 557638799155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249858063428480).

557638799155200 is an abundant number, since it is smaller than the sum of its proper divisors (1942077327701760).

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

557638799155200 is a wasteful number, since it uses less digits than its factorization.

557638799155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 714420000, while the sum is 72.

The spelling of 557638799155200 in words is "five hundred fifty-seven trillion, six hundred thirty-eight billion, seven hundred ninety-nine million, one hundred fifty-five thousand, two hundred".