556060550100 has 576 divisors, whose sum is σ = 1877447835648. Its totient is φ = 125802432000.

The previous prime is 556060550099. The next prime is 556060550113. The reversal of 556060550100 is 1055060655.

556060550100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×556060550100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 365107939 + ... + 365109461.

It is an arithmetic number, because the mean of its divisors is an integer number (3259458048).

Almost surely, 2^556060550100 is an apocalyptic number.

556060550100 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 556060550100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938723917824).

556060550100 is an abundant number, since it is smaller than the sum of its proper divisors (1321387285548).

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

556060550100 is a wasteful number, since it uses less digits than its factorization.

556060550100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 556060550100 in words is "five hundred fifty-six billion, sixty million, five hundred fifty thousand, one hundred".