5511505111100 has 72 divisors (see below), whose sum is σ = 12053310757488. Its totient is φ = 2187401382400.

The previous prime is 5511505111031. The next prime is 5511505111103. The reversal of 5511505111100 is 11115051155.

It is a self number, because there is not a number n which added to its sum of digits gives 5511505111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5511505111103) 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, 84763802 + ... + 84828798.

It is an arithmetic number, because the mean of its divisors is an integer number (167407093854).

Almost surely, 2^{5511505111100} is an apocalyptic number.

5511505111100 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 5511505111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026655378744).

5511505111100 is an abundant number, since it is smaller than the sum of its proper divisors (6541805646388).

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

5511505111100 is a wasteful number, since it uses less digits than its factorization.

5511505111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71615 (or 71608 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 26.

The spelling of 5511505111100 in words is "five trillion, five hundred eleven billion, five hundred five million, one hundred eleven thousand, one hundred".