556457900544 has 1280 divisors, whose sum is σ = 2116557864960. Its totient is φ = 142216445952.

The previous prime is 556457900527. The next prime is 556457900599. The reversal of 556457900544 is 445009754655.

556457900544 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 5 + 7 + 90 + 0 + 544 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 4381558209 + ... + 4381558335.

It is an arithmetic number, because the mean of its divisors is an integer number (1653560832).

Almost surely, 2^556457900544 is an apocalyptic number.

556457900544 is a gapful number since it is divisible by the number (54) 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 556457900544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058278932480).

556457900544 is an abundant number, since it is smaller than the sum of its proper divisors (1560099964416).

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

556457900544 is an equidigital number, since it uses as much as digits as its factorization.

556457900544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 556457900544 in words is "five hundred fifty-six billion, four hundred fifty-seven million, nine hundred thousand, five hundred forty-four".