5556006105100 has 72 divisors (see below), whose sum is σ = 13158901401408. Its totient is φ = 2019395092800.

The previous prime is 5556006104963. The next prime is 5556006105103. The reversal of 5556006105100 is 15016006555.

It is not an unprimeable number, because it can be changed into a prime (5556006105103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1078887 + ... + 3503713.

It is an arithmetic number, because the mean of its divisors is an integer number (182762519464).

Almost surely, 2^{5556006105100} is an apocalyptic number.

5556006105100 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 5556006105100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579450700704).

5556006105100 is an abundant number, since it is smaller than the sum of its proper divisors (7602895296308).

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

5556006105100 is a wasteful number, since it uses less digits than its factorization.

5556006105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426935 (or 2426928 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 5556006105100 in words is "five trillion, five hundred fifty-six billion, six million, one hundred five thousand, one hundred".