5286297600 has 384 divisors, whose sum is σ = 19503216000. Its totient is φ = 1403781120.

The previous prime is 5286297581. The next prime is 5286297613. The reversal of 5286297600 is 67926825.

5286297600 is a `hidden beast` number, since 528 + 62 + 9 + 7 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22118281 + ... + 22118519.

It is an arithmetic number, because the mean of its divisors is an integer number (50789625).

Almost surely, 2^5286297600 is an apocalyptic number.

5286297600 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 5286297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9751608000).

5286297600 is an abundant number, since it is smaller than the sum of its proper divisors (14216918400).

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

5286297600 is an equidigital number, since it uses as much as digits as its factorization.

5286297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5286297600 is about 72706.9295184441. The cubic root of 5286297600 is about 1742.0095688125.

The spelling of 5286297600 in words is "five billion, two hundred eighty-six million, two hundred ninety-seven thousand, six hundred".