5274361907200 has 288 divisors, whose sum is σ = 13373313506280. Its totient is φ = 2062273740800.

The previous prime is 5274361907189. The next prime is 5274361907207. The reversal of 5274361907200 is 27091634725.

It can be written as a sum of positive squares in 12 ways, for example, as 1346862375936 + 3927499531264 = 1160544^2 + 1981792^2 .

It is not an unprimeable number, because it can be changed into a prime (5274361907207) 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, 762518142 + ... + 762525058.

Almost surely, 2^{5274361907200} is an apocalyptic number.

5274361907200 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 5274361907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686656753140).

5274361907200 is an abundant number, since it is smaller than the sum of its proper divisors (8098951599080).

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

5274361907200 is a wasteful number, since it uses less digits than its factorization.

5274361907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7283 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 5274361907200 in words is "five trillion, two hundred seventy-four billion, three hundred sixty-one million, nine hundred seven thousand, two hundred".