5286758400 has 864 divisors, whose sum is σ = 23764104000. Its totient is φ = 1091174400.

The previous prime is 5286758371. The next prime is 5286758423. The reversal of 5286758400 is 48576825.

5286758400 is a `hidden beast` number, since 5 + 2 + 8 + 67 + 584 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35481526 + ... + 35481674.

It is an arithmetic number, because the mean of its divisors is an integer number (27504750).

Almost surely, 2^5286758400 is an apocalyptic number.

5286758400 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 5286758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11882052000).

5286758400 is an abundant number, since it is smaller than the sum of its proper divisors (18477345600).

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

5286758400 is a wasteful number, since it uses less digits than its factorization.

5286758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5286758400 is about 72710.0983357883. The cubic root of 5286758400 is about 1742.0601836124.

The spelling of 5286758400 in words is "five billion, two hundred eighty-six million, seven hundred fifty-eight thousand, four hundred".