5166179200 has 384 divisors, whose sum is σ = 15947104320. Its totient is φ = 1610219520.

The previous prime is 5166179191. The next prime is 5166179203. The reversal of 5166179200 is 29716615.

It is a self number, because there is not a number n which added to its sum of digits gives 5166179200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5166179203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32905522 + ... + 32905678.

Almost surely, 2^5166179200 is an apocalyptic number.

5166179200 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 5166179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973552160).

5166179200 is an abundant number, since it is smaller than the sum of its proper divisors (10780925120).

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

5166179200 is a wasteful number, since it uses less digits than its factorization.

5166179200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 5166179200 is about 71876.1379040360. The cubic root of 5166179200 is about 1728.7140253337.

It can be divided in two parts, 516 and 6179200, that added together give a palindrome (6179716).

The spelling of 5166179200 in words is "five billion, one hundred sixty-six million, one hundred seventy-nine thousand, two hundred".