556206761600 has 1152 divisors, whose sum is σ = 1793919467520. Its totient is φ = 169073049600.

The previous prime is 556206761521. The next prime is 556206761609. The reversal of 556206761600 is 6167602655.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (556206761609) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4379580737 + ... + 4379580863.

It is an arithmetic number, because the mean of its divisors is an integer number (1557221760).

Almost surely, 2^556206761600 is an apocalyptic number.

556206761600 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 556206761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896959733760).

556206761600 is an abundant number, since it is smaller than the sum of its proper divisors (1237712705920).

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

556206761600 is a wasteful number, since it uses less digits than its factorization.

556206761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 556206761600 in words is "five hundred fifty-six billion, two hundred six million, seven hundred sixty-one thousand, six hundred".