5121834400 has 144 divisors (see below), whose sum is σ = 12857927040. Its totient is φ = 1991321600.

The previous prime is 5121834397. The next prime is 5121834407. The reversal of 5121834400 is 44381215.

It is not an unprimeable number, because it can be changed into a prime (5121834407) 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, 6730020 + ... + 6730780.

It is an arithmetic number, because the mean of its divisors is an integer number (89291160).

Almost surely, 2^5121834400 is an apocalyptic number.

5121834400 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 5121834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428963520).

5121834400 is an abundant number, since it is smaller than the sum of its proper divisors (7736092640).

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

5121834400 is a wasteful number, since it uses less digits than its factorization.

5121834400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 5121834400 is about 71566.9923917444. The cubic root of 5121834400 is about 1723.7535657287.

The spelling of 5121834400 in words is "five billion, one hundred twenty-one million, eight hundred thirty-four thousand, four hundred".