5840856000 has 448 divisors, whose sum is σ = 24497141760. Its totient is φ = 1334707200.

The previous prime is 5840855963. The next prime is 5840856019. The reversal of 5840856000 is 6580485.

It is a happy number.

5840856000 is a `hidden beast` number, since 5 + 8 + 40 + 8 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1510069 + ... + 1513931.

It is an arithmetic number, because the mean of its divisors is an integer number (54681120).

Almost surely, 2^5840856000 is an apocalyptic number.

5840856000 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 5840856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12248570880).

5840856000 is an abundant number, since it is smaller than the sum of its proper divisors (18656285760).

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

5840856000 is a wasteful number, since it uses less digits than its factorization.

5840856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5840856000 is about 76425.4931289292. The cubic root of 5840856000 is about 1800.9106503201.

The spelling of 5840856000 in words is "five billion, eight hundred forty million, eight hundred fifty-six thousand".