556113600 has 420 divisors, whose sum is σ = 2339963824. Its totient is φ = 126904320.

The previous prime is 556113587. The next prime is 556113611. The reversal of 556113600 is 6311655.

It is a happy number.

556113600 is a `hidden beast` number, since 5 + 56 + 1 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×556113600² = 618524672209920000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 906894 + ... + 907506.

Almost surely, 2^556113600 is an apocalyptic number.

556113600 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 556113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169981912).

556113600 is an abundant number, since it is smaller than the sum of its proper divisors (1783850224).

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

556113600 is a wasteful number, since it uses less digits than its factorization.

556113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 556113600 is about 23582.0609786337. The cubic root of 556113600 is about 822.3458505228.

The spelling of 556113600 in words is "five hundred fifty-six million, one hundred thirteen thousand, six hundred".