5105374072200 has 768 divisors, whose sum is σ = 18879148800000. Its totient is φ = 1265260953600.

The previous prime is 5105374072187. The next prime is 5105374072217. The reversal of 5105374072200 is 22704735015.

5105374072200 is a `hidden beast` number, since 5 + 10 + 5 + 37 + 407 + 2 + 200 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 936935076 + ... + 936940524.

It is an arithmetic number, because the mean of its divisors is an integer number (24582225000).

Almost surely, 2^{5105374072200} is an apocalyptic number.

5105374072200 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 5105374072200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9439574400000).

5105374072200 is an abundant number, since it is smaller than the sum of its proper divisors (13773774727800).

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

5105374072200 is a wasteful number, since it uses less digits than its factorization.

5105374072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 5105374072200 in words is "five trillion, one hundred five billion, three hundred seventy-four million, seventy-two thousand, two hundred".