557351558400 has 1296 divisors, whose sum is σ = 2325965712000. Its totient is φ = 116493189120.

The previous prime is 557351558371. The next prime is 557351558479. The reversal of 557351558400 is 4855153755.

It is a super-2 number, since 2×557351558400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 557351558400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2433849486 + ... + 2433849714.

Almost surely, 2^557351558400 is an apocalyptic number.

557351558400 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 557351558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162982856000).

557351558400 is an abundant number, since it is smaller than the sum of its proper divisors (1768614153600).

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

557351558400 is a wasteful number, since it uses less digits than its factorization.

557351558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2100000, while the sum is 48.

The spelling of 557351558400 in words is "five hundred fifty-seven billion, three hundred fifty-one million, five hundred fifty-eight thousand, four hundred".