5012110400 has 126 divisors (see below), whose sum is σ = 13556547690. Its totient is φ = 1822515200.

The previous prime is 5012110393. The next prime is 5012110421. The reversal of 5012110400 is 40112105.

It can be written as a sum of positive squares in 3 ways, for example, as 1314497536 + 3697612864 = 36256^2 + 60808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 180656 + ... + 206544.

Almost surely, 2^5012110400 is an apocalyptic number.

5012110400 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 5012110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778273845).

5012110400 is an abundant number, since it is smaller than the sum of its proper divisors (8544437290).

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

5012110400 is a wasteful number, since it uses less digits than its factorization.

5012110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25933 (or 25907 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 5012110400 is about 70796.2597882120. The cubic root of 5012110400 is about 1711.3553997405.

Adding to 5012110400 its reverse (40112105), we get a palindrome (5052222505).

The spelling of 5012110400 in words is "five billion, twelve million, one hundred ten thousand, four hundred".