5165666100 has 216 divisors, whose sum is σ = 18632140800. Its totient is φ = 1172586240.

The previous prime is 5165666063. The next prime is 5165666101. The reversal of 5165666100 is 16665615.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5165666101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 935949 + ... + 941451.

Almost surely, 2^5165666100 is an apocalyptic number.

5165666100 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 5165666100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9316070400).

5165666100 is an abundant number, since it is smaller than the sum of its proper divisors (13466474700).

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

5165666100 is a wasteful number, since it uses less digits than its factorization.

5165666100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5679 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5165666100 is about 71872.5684806102. The cubic root of 5165666100 is about 1728.6567920284.

The spelling of 5165666100 in words is "five billion, one hundred sixty-five million, six hundred sixty-six thousand, one hundred".