556919203104 has 768 divisors, whose sum is σ = 1883260108800. Its totient is φ = 158572339200.

The previous prime is 556919203103. The next prime is 556919203117. The reversal of 556919203104 is 401302919655.

556919203104 is a `hidden beast` number, since 556 + 9 + 1 + 92 + 0 + 3 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 556919203104.

It is not an unprimeable number, because it can be changed into a prime (556919203103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1756842754 + ... + 1756843070.

It is an arithmetic number, because the mean of its divisors is an integer number (2452161600).

Almost surely, 2^556919203104 is an apocalyptic number.

556919203104 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 556919203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941630054400).

556919203104 is an abundant number, since it is smaller than the sum of its proper divisors (1326340905696).

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

556919203104 is a wasteful number, since it uses less digits than its factorization.

556919203104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 556919203104 in words is "five hundred fifty-six billion, nine hundred nineteen million, two hundred three thousand, one hundred four".