5272167054400 has 189 divisors, whose sum is σ = 13099472883679. Its totient is φ = 2088477276160.

The previous prime is 5272167054359. The next prime is 5272167054403. The reversal of 5272167054400 is 44507612725.

The square root of 5272167054400 is 2296120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15381952576 + 5256785101824 = 124024^2 + 2292768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5272167054403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12582737391 + ... + 12582737809.

Almost surely, 2^{5272167054400} is an apocalyptic number.

5272167054400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5272167054400 is the 2296120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5272167054400

5272167054400 is an abundant number, since it is smaller than the sum of its proper divisors (7827305829279).

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

5272167054400 is an frugal number, since it uses more digits than its factorization.

5272167054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 43.

The spelling of 5272167054400 in words is "five trillion, two hundred seventy-two billion, one hundred sixty-seven million, fifty-four thousand, four hundred".