5268291840 has 1080 divisors, whose sum is σ = 23599161432. Its totient is φ = 1114767360.

The previous prime is 5268291829. The next prime is 5268291863. The reversal of 5268291840 is 481928625.

5268291840 is a `hidden beast` number, since 526 + 82 + 9 + 1 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146313216 + 5121978624 = 12096^2 + 71568^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×5268291840² = 55509797822821171200, which contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 86365410 + ... + 86365470.

Almost surely, 2^5268291840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5268291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11799580716).

5268291840 is an abundant number, since it is smaller than the sum of its proper divisors (18330869592).

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

5268291840 is a wasteful number, since it uses less digits than its factorization.

5268291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5268291840 is about 72582.9996624554. Note that the first 3 decimals coincide. The cubic root of 5268291840 is about 1740.0294882042.

The spelling of 5268291840 in words is "five billion, two hundred sixty-eight million, two hundred ninety-one thousand, eight hundred forty".