5166734400 has 189 divisors, whose sum is σ = 18394502581. Its totient is φ = 1375495680.

The previous prime is 5166734387. The next prime is 5166734437. The reversal of 5166734400 is 44376615.

It is a happy number.

The square root of 5166734400 is 71880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1860024384 + 3306710016 = 43128^2 + 57504^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8625301 + ... + 8625899.

Almost surely, 2^5166734400 is an apocalyptic number.

5166734400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5166734400 is the 71880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5166734400

5166734400 is an abundant number, since it is smaller than the sum of its proper divisors (13227768181).

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

5166734400 is an equidigital number, since it uses as much as digits as its factorization.

5166734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The cubic root of 5166734400 is about 1728.7759503792.

Multiplying 5166734400 by its sum of digits (36), we get a square (186002438400 = 431280²).

5166734400 divided by its sum of digits (36) gives a square (143520400 = 11980²).

The spelling of 5166734400 in words is "five billion, one hundred sixty-six million, seven hundred thirty-four thousand, four hundred".