557934400329600 has 3072 divisors, whose sum is σ = 2364616654848000. Its totient is φ = 112756064256000.

The previous prime is 557934400329589. The next prime is 557934400329617. The reversal of 557934400329600 is 6923004439755.

It is a super-2 number, since 2×557934400329600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 144430337269 + ... + 144430341131.

It is an arithmetic number, because the mean of its divisors is an integer number (769731984000).

Almost surely, 2^{557934400329600} is an apocalyptic number.

557934400329600 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 557934400329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182308327424000).

557934400329600 is an abundant number, since it is smaller than the sum of its proper divisors (1806682254518400).

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

557934400329600 is a wasteful number, since it uses less digits than its factorization.

557934400329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 57.

The spelling of 557934400329600 in words is "five hundred fifty-seven trillion, nine hundred thirty-four billion, four hundred million, three hundred twenty-nine thousand, six hundred".