5827133520 has 600 divisors, whose sum is σ = 23278315896. Its totient is φ = 1345683456.

The previous prime is 5827133497. The next prime is 5827133549. The reversal of 5827133520 is 253317285.

It is a happy number.

5827133520 is a `hidden beast` number, since 58 + 271 + 335 + 2 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4430766096 + 1396367424 = 66564^2 + 37368^2 .

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

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, 18616884 + ... + 18617196.

Almost surely, 2^5827133520 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 5827133520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11639157948).

5827133520 is an abundant number, since it is smaller than the sum of its proper divisors (17451182376).

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

5827133520 is a wasteful number, since it uses less digits than its factorization.

5827133520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5827133520 is about 76335.6634869967. The cubic root of 5827133520 is about 1799.4991940092.

The spelling of 5827133520 in words is "five billion, eight hundred twenty-seven million, one hundred thirty-three thousand, five hundred twenty".