556189420891104 has 720 divisors, whose sum is σ = 2212873407781344. Its totient is φ = 133352102062080.

The previous prime is 556189420891067. The next prime is 556189420891121. The reversal of 556189420891104 is 401198024981655.

556189420891104 is a `hidden beast` number, since 5 + 5 + 6 + 18 + 9 + 420 + 8 + 91 + 104 = 666.

It is a super-2 number, since 2×556189420891104² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18796654 + ... + 38284370.

Almost surely, 2^{556189420891104} is an apocalyptic number.

556189420891104 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 556189420891104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106436703890672).

556189420891104 is an abundant number, since it is smaller than the sum of its proper divisors (1656683986890240).

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

556189420891104 is a wasteful number, since it uses less digits than its factorization.

556189420891104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19487781 (or 19487753 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 556189420891104 in words is "five hundred fifty-six trillion, one hundred eighty-nine billion, four hundred twenty million, eight hundred ninety-one thousand, one hundred four".