5117358400 has 336 divisors, whose sum is σ = 15942015360. Its totient is φ = 1570406400.

The previous prime is 5117358359. The next prime is 5117358403. The reversal of 5117358400 is 48537115.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5117358403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8993316 + ... + 8993884.

Almost surely, 2^5117358400 is an apocalyptic number.

5117358400 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 5117358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7971007680).

5117358400 is an abundant number, since it is smaller than the sum of its proper divisors (10824656960).

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

5117358400 is a wasteful number, since it uses less digits than its factorization.

5117358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 5117358400 is about 71535.7141573354. The cubic root of 5117358400 is about 1723.2512867277.

It can be divided in two parts, 511 and 7358400, that multiplied together give a square (3760142400 = 61320²).

The spelling of 5117358400 in words is "five billion, one hundred seventeen million, three hundred fifty-eight thousand, four hundred".