5250826800 has 180 divisors, whose sum is σ = 18329329824. Its totient is φ = 1391961600.

The previous prime is 5250826741. The next prime is 5250826817. The reversal of 5250826800 is 86280525.

5250826800 is a `hidden beast` number, since 52 + 508 + 26 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 618585 + ... + 627015.

Almost surely, 2^5250826800 is an apocalyptic number.

5250826800 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 5250826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9164664912).

5250826800 is an abundant number, since it is smaller than the sum of its proper divisors (13078503024).

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

5250826800 is a wasteful number, since it uses less digits than its factorization.

5250826800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8628 (or 8614 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5250826800 is about 72462.5889683773. The cubic root of 5250826800 is about 1738.1045550773.

The spelling of 5250826800 in words is "five billion, two hundred fifty million, eight hundred twenty-six thousand, eight hundred".