5287060800 has 756 divisors, whose sum is σ = 22404994560. Its totient is φ = 1178634240.

The previous prime is 5287060799. The next prime is 5287060817. The reversal of 5287060800 is 80607825.

5287060800 is a `hidden beast` number, since 528 + 70 + 60 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 41630337 + ... + 41630463.

Almost surely, 2^5287060800 is an apocalyptic number.

5287060800 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 5287060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11202497280).

5287060800 is an abundant number, since it is smaller than the sum of its proper divisors (17117933760).

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

5287060800 is a wasteful number, since it uses less digits than its factorization.

5287060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5287060800 is about 72712.1777971201. The cubic root of 5287060800 is about 1742.0933979765.

The spelling of 5287060800 in words is "five billion, two hundred eighty-seven million, sixty thousand, eight hundred".