5611066010100 has 108 divisors (see below), whose sum is σ = 17598117185740. Its totient is φ = 1495387353600.

The previous prime is 5611066010083. The next prime is 5611066010107. The reversal of 5611066010100 is 10106601165.

5611066010100 is a `hidden beast` number, since 56 + 1 + 1 + 0 + 6 + 601 + 0 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 711023341284 + 4900042668816 = 843222^2 + 2213604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5611066010107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 365641 + ... + 3369840.

Almost surely, 2^{5611066010100} is an apocalyptic number.

5611066010100 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 5611066010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8799058592870).

5611066010100 is an abundant number, since it is smaller than the sum of its proper divisors (11987051175640).

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

5611066010100 is a wasteful number, since it uses less digits than its factorization.

5611066010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737170 (or 3737160 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 5611066010100 in words is "five trillion, six hundred eleven billion, sixty-six million, ten thousand, one hundred".