5286465000 has 480 divisors, whose sum is σ = 19615596000. Its totient is φ = 1329696000.

The previous prime is 5286464971. The next prime is 5286465007. The reversal of 5286465000 is 5646825.

5286465000 is a `hidden beast` number, since 5 + 2 + 8 + 646 + 5 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5286465007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23084886 + ... + 23085114.

It is an arithmetic number, because the mean of its divisors is an integer number (40865825).

Almost surely, 2^5286465000 is an apocalyptic number.

5286465000 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 5286465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9807798000).

5286465000 is an abundant number, since it is smaller than the sum of its proper divisors (14329131000).

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

5286465000 is a wasteful number, since it uses less digits than its factorization.

5286465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5286465000 is about 72708.0807063424. The cubic root of 5286465000 is about 1742.0279565604.

The spelling of 5286465000 in words is "five billion, two hundred eighty-six million, four hundred sixty-five thousand".