5855976000 has 560 divisors, whose sum is σ = 24777996672. Its totient is φ = 1337472000.

The previous prime is 5855975971. The next prime is 5855976001. The reversal of 5855976000 is 6795585.

5855976000 is a `hidden beast` number, since 58 + 5 + 597 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is not an unprimeable number, because it can be changed into a prime (5855976001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 4535355 + ... + 4536645.

Almost surely, 2^5855976000 is an apocalyptic number.

5855976000 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 5855976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12388998336).

5855976000 is an abundant number, since it is smaller than the sum of its proper divisors (18922020672).

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

5855976000 is a wasteful number, since it uses less digits than its factorization.

5855976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 5855976000 is about 76524.3490661632. The cubic root of 5855976000 is about 1802.4632941190.

The spelling of 5855976000 in words is "five billion, eight hundred fifty-five million, nine hundred seventy-six thousand".