5127102400 has 168 divisors, whose sum is σ = 14884253696. Its totient is φ = 1701043200.

The previous prime is 5127102373. The next prime is 5127102451. The reversal of 5127102400 is 42017215.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339817 + ... + 354583.

Almost surely, 2^5127102400 is an apocalyptic number.

5127102400 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 5127102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442126848).

5127102400 is an abundant number, since it is smaller than the sum of its proper divisors (9757151296).

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

5127102400 is a wasteful number, since it uses less digits than its factorization.

5127102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14827 (or 14812 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 5127102400 is about 71603.7876093158. The cubic root of 5127102400 is about 1724.3443450967.

Adding to 5127102400 its reverse (42017215), we get a palindrome (5169119615).

The spelling of 5127102400 in words is "five billion, one hundred twenty-seven million, one hundred two thousand, four hundred".