5108930400 has 288 divisors, whose sum is σ = 19521250560. Its totient is φ = 1136056320.

The previous prime is 5108930371. The next prime is 5108930401. The reversal of 5108930400 is 40398015.

It is a super-2 number, since 2×5108930400² = 52202339664088320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5108930401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617491 + ... + 625709.

It is an arithmetic number, because the mean of its divisors is an integer number (67782120).

Almost surely, 2^5108930400 is an apocalyptic number.

5108930400 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 5108930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9760625280).

5108930400 is an abundant number, since it is smaller than the sum of its proper divisors (14412320160).

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

5108930400 is a wasteful number, since it uses less digits than its factorization.

5108930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5108930400 is about 71476.7822443064. The cubic root of 5108930400 is about 1722.3047344134.

The spelling of 5108930400 in words is "five billion, one hundred eight million, nine hundred thirty thousand, four hundred".