5515505324100 has 324 divisors, whose sum is σ = 18690896870100. Its totient is φ = 1359402393600.

The previous prime is 5515505324099. The next prime is 5515505324143. The reversal of 5515505324100 is 14235055155.

5515505324100 is a `hidden beast` number, since 5 + 5 + 15 + 5 + 0 + 532 + 4 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1090675277316 + 4424830046784 = 1044354^2 + 2103528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13113876 + ... + 13527924.

Almost surely, 2^{5515505324100} is an apocalyptic number.

5515505324100 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 5515505324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9345448435050).

5515505324100 is an abundant number, since it is smaller than the sum of its proper divisors (13175391546000).

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

5515505324100 is a wasteful number, since it uses less digits than its factorization.

5515505324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414148 (or 414119 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 5515505324100 in words is "five trillion, five hundred fifteen billion, five hundred five million, three hundred twenty-four thousand, one hundred".