5186473600 has 576 divisors, whose sum is σ = 16956414720. Its totient is φ = 1548288000.

The previous prime is 5186473561. The next prime is 5186473687. The reversal of 5186473600 is 63746815.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53468752 + ... + 53468848.

It is an arithmetic number, because the mean of its divisors is an integer number (29438220).

Almost surely, 2^5186473600 is an apocalyptic number.

5186473600 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 5186473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8478207360).

5186473600 is an abundant number, since it is smaller than the sum of its proper divisors (11769941120).

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

5186473600 is a wasteful number, since it uses less digits than its factorization.

5186473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 5186473600 is about 72017.1757291273. The cubic root of 5186473600 is about 1730.9747144041.

The spelling of 5186473600 in words is "five billion, one hundred eighty-six million, four hundred seventy-three thousand, six hundred".