5005506056100 has 144 divisors (see below), whose sum is σ = 15833773615296. Its totient is φ = 1210800384000.

The previous prime is 5005506056099. The next prime is 5005506056113. The reversal of 5005506056100 is 16506055005.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151441 + ... + 3167640.

Almost surely, 2^{5005506056100} is an apocalyptic number.

5005506056100 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 5005506056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916886807648).

5005506056100 is an abundant number, since it is smaller than the sum of its proper divisors (10828267559196).

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

5005506056100 is a wasteful number, since it uses less digits than its factorization.

5005506056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319566 (or 3319559 counting only the distinct ones).

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

The spelling of 5005506056100 in words is "five trillion, five billion, five hundred six million, fifty-six thousand, one hundred".