5110155714400 has 144 divisors (see below), whose sum is σ = 13612178608560. Its totient is φ = 1857841817600.

The previous prime is 5110155714397. The next prime is 5110155714403. The reversal of 5110155714400 is 44175510115.

It is an interprime number because it is at equal distance from previous prime (5110155714397) and next prime (5110155714403).

It is a super-2 number, since 2×5110155714400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5110155714403) 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, 42858066 + ... + 42977134.

It is an arithmetic number, because the mean of its divisors is an integer number (94529018115).

Almost surely, 2^{5110155714400} is an apocalyptic number.

5110155714400 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 5110155714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6806089304280).

5110155714400 is an abundant number, since it is smaller than the sum of its proper divisors (8502022894160).

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

5110155714400 is a wasteful number, since it uses less digits than its factorization.

5110155714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123977 (or 123964 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 34.

The spelling of 5110155714400 in words is "five trillion, one hundred ten billion, one hundred fifty-five million, seven hundred fourteen thousand, four hundred".