5286762000 has 640 divisors, whose sum is σ = 21643614720. Its totient is φ = 1222041600.

The previous prime is 5286761873. The next prime is 5286762007. The reversal of 5286762000 is 2676825.

5286762000 is a `hidden beast` number, since 5 + 28 + 6 + 7 + 620 + 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 (5286762007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11933779 + ... + 11934221.

It is an arithmetic number, because the mean of its divisors is an integer number (33818148).

Almost surely, 2^5286762000 is an apocalyptic number.

5286762000 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 5286762000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10821807360).

5286762000 is an abundant number, since it is smaller than the sum of its proper divisors (16356852720).

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

5286762000 is a wasteful number, since it uses less digits than its factorization.

5286762000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5286762000 is about 72710.1230916301. The cubic root of 5286762000 is about 1742.0605790290.

The spelling of 5286762000 in words is "five billion, two hundred eighty-six million, seven hundred sixty-two thousand".