5125939200 has 504 divisors, whose sum is σ = 19226040288. Its totient is φ = 1353646080.

The previous prime is 5125939199. The next prime is 5125939207. The reversal of 5125939200 is 29395215.

It is a happy number.

5125939200 is a `hidden beast` number, since 512 + 59 + 3 + 92 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5125939207) 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, 49766349 + ... + 49766451.

Almost surely, 2^5125939200 is an apocalyptic number.

5125939200 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 5125939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9613020144).

5125939200 is an abundant number, since it is smaller than the sum of its proper divisors (14100101088).

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

5125939200 is an equidigital number, since it uses as much as digits as its factorization.

5125939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 5125939200 is about 71595.6646732189. The cubic root of 5125939200 is about 1724.2139329660.

The spelling of 5125939200 in words is "five billion, one hundred twenty-five million, nine hundred thirty-nine thousand, two hundred".