5827105440 has 768 divisors, whose sum is σ = 23843635200. Its totient is φ = 1316818944.

The previous prime is 5827105429. The next prime is 5827105481. The reversal of 5827105440 is 445017285.

5827105440 is a `hidden beast` number, since 582 + 71 + 0 + 5 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5827105395 and 5827105404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45882657 + ... + 45882783.

It is an arithmetic number, because the mean of its divisors is an integer number (31046400).

Almost surely, 2^5827105440 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 5827105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11921817600).

5827105440 is an abundant number, since it is smaller than the sum of its proper divisors (18016529760).

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

5827105440 is a wasteful number, since it uses less digits than its factorization.

5827105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5827105440 is about 76335.4795622586. The cubic root of 5827105440 is about 1799.4963035075.

The spelling of 5827105440 in words is "five billion, eight hundred twenty-seven million, one hundred five thousand, four hundred forty".