5126027200 has 252 divisors, whose sum is σ = 14803812912. Its totient is φ = 1741824000.

The previous prime is 5126027191. The next prime is 5126027201. The reversal of 5126027200 is 27206215.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5126027201) 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, 11838184 + ... + 11838616.

Almost surely, 2^5126027200 is an apocalyptic number.

5126027200 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 5126027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7401906456).

5126027200 is an abundant number, since it is smaller than the sum of its proper divisors (9677785712).

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

5126027200 is a wasteful number, since it uses less digits than its factorization.

5126027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 5126027200 is about 71596.2792329322. The cubic root of 5126027200 is about 1724.2237997730.

The spelling of 5126027200 in words is "five billion, one hundred twenty-six million, twenty-seven thousand, two hundred".