5110112400 has 120 divisors (see below), whose sum is σ = 17081198400. Its totient is φ = 1303441920.

The previous prime is 5110112383. The next prime is 5110112401. The reversal of 5110112400 is 42110115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5110112400² = 52226497481267520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5110112400.

It is not an unprimeable number, because it can be changed into a prime (5110112401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64975 + ... + 120174.

It is an arithmetic number, because the mean of its divisors is an integer number (142343320).

Almost surely, 2^5110112400 is an apocalyptic number.

5110112400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5110112400 is an abundant number, since it is smaller than the sum of its proper divisors (11971086000).

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

5110112400 is a wasteful number, since it uses less digits than its factorization.

5110112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185193 (or 185182 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 5110112400 is about 71485.0501853360. The cubic root of 5110112400 is about 1722.4375480723.

Adding to 5110112400 its reverse (42110115), we get a palindrome (5152222515).

The spelling of 5110112400 in words is "five billion, one hundred ten million, one hundred twelve thousand, four hundred".