5510055101100 has 576 divisors, whose sum is σ = 18610178872320. Its totient is φ = 1243919974400.

The previous prime is 5510055101087. The next prime is 5510055101119. The reversal of 5510055101100 is 11015500155.

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, 2759165302 + ... + 2759167298.

It is an arithmetic number, because the mean of its divisors is an integer number (32309338320).

Almost surely, 2^{5510055101100} is an apocalyptic number.

5510055101100 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 5510055101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9305089436160).

5510055101100 is an abundant number, since it is smaller than the sum of its proper divisors (13100123771220).

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

5510055101100 is a wasteful number, since it uses less digits than its factorization.

5510055101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 24.

The spelling of 5510055101100 in words is "five trillion, five hundred ten billion, fifty-five million, one hundred one thousand, one hundred".