556110640613100 has 432 divisors, whose sum is σ = 1806519126625920. Its totient is φ = 131261336985600.

The previous prime is 556110640613063. The next prime is 556110640613239. The reversal of 556110640613100 is 1316046011655.

It is a super-2 number, since 2×556110640613100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1818563215 + ... + 1818868985.

It is an arithmetic number, because the mean of its divisors is an integer number (4181757237560).

Almost surely, 2^{556110640613100} is an apocalyptic number.

556110640613100 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 556110640613100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903259563312960).

556110640613100 is an abundant number, since it is smaller than the sum of its proper divisors (1250408486012820).

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

556110640613100 is a wasteful number, since it uses less digits than its factorization.

556110640613100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306098 (or 305954 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

Adding to 556110640613100 its reverse (1316046011655), we get a palindrome (557426686624755).

The spelling of 556110640613100 in words is "five hundred fifty-six trillion, one hundred ten billion, six hundred forty million, six hundred thirteen thousand, one hundred".