557139340800 has 3840 divisors, whose sum is σ = 2805763276800. Its totient is φ = 105106636800.

The previous prime is 557139340763. The next prime is 557139340853. The reversal of 557139340800 is 8043931755.

557139340800 is a `hidden beast` number, since 5 + 571 + 39 + 3 + 40 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17972236785 + ... + 17972236815.

It is an arithmetic number, because the mean of its divisors is an integer number (730667520).

Almost surely, 2^557139340800 is an apocalyptic number.

557139340800 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 557139340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402881638400).

557139340800 is an abundant number, since it is smaller than the sum of its proper divisors (2248623936000).

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

557139340800 is a wasteful number, since it uses less digits than its factorization.

557139340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 557139340800 in words is "five hundred fifty-seven billion, one hundred thirty-nine million, three hundred forty thousand, eight hundred".