5178373200 has 960 divisors, whose sum is σ = 24798412800. Its totient is φ = 991180800.

The previous prime is 5178373159. The next prime is 5178373217. The reversal of 5178373200 is 23738715.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10810561 + ... + 10811039.

It is an arithmetic number, because the mean of its divisors is an integer number (25831680).

Almost surely, 2^5178373200 is an apocalyptic number.

5178373200 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 5178373200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12399206400).

5178373200 is an abundant number, since it is smaller than the sum of its proper divisors (19620039600).

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

5178373200 is a wasteful number, since it uses less digits than its factorization.

5178373200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5178373200 is about 71960.9143910776. The cubic root of 5178373200 is about 1730.0730809895.

The spelling of 5178373200 in words is "five billion, one hundred seventy-eight million, three hundred seventy-three thousand, two hundred".