5172134400 has 720 divisors, whose sum is σ = 20778357600. Its totient is φ = 1220935680.

The previous prime is 5172134389. The next prime is 5172134431. The reversal of 5172134400 is 44312715.

5172134400 is a `hidden beast` number, since 5 + 1 + 7 + 213 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37209531 + ... + 37209669.

It is an arithmetic number, because the mean of its divisors is an integer number (28858830).

Almost surely, 2^5172134400 is an apocalyptic number.

5172134400 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 5172134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10389178800).

5172134400 is an abundant number, since it is smaller than the sum of its proper divisors (15606223200).

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

5172134400 is a wasteful number, since it uses less digits than its factorization.

5172134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5172134400 is about 71917.5527948497. The cubic root of 5172134400 is about 1729.3780160175.

The spelling of 5172134400 in words is "five billion, one hundred seventy-two million, one hundred thirty-four thousand, four hundred".