5286832172800 has 108 divisors (see below), whose sum is σ = 13134385829880. Its totient is φ = 2106870722560.

The previous prime is 5286832172711. The next prime is 5286832172803. The reversal of 5286832172800 is 82712386825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5286832172803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186159 + ... + 3257041.

It is an arithmetic number, because the mean of its divisors is an integer number (121614683610).

Almost surely, 2^{5286832172800} is an apocalyptic number.

5286832172800 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 5286832172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567192914940).

5286832172800 is an abundant number, since it is smaller than the sum of its proper divisors (7847553657080).

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

5286832172800 is a wasteful number, since it uses less digits than its factorization.

5286832172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3071178 (or 3071159 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 5286832172800 in words is "five trillion, two hundred eighty-six billion, eight hundred thirty-two million, one hundred seventy-two thousand, eight hundred".