5791968000 has 1296 divisors, whose sum is σ = 27308788416. Its totient is φ = 1150156800.

The previous prime is 5791967959. The next prime is 5791968047. The reversal of 5791968000 is 8691975.

5791968000 is a `hidden beast` number, since 579 + 19 + 68 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 340703992 + ... + 340704008.

It is an arithmetic number, because the mean of its divisors is an integer number (21071596).

Almost surely, 2^5791968000 is an apocalyptic number.

5791968000 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 5791968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13654394208).

5791968000 is an abundant number, since it is smaller than the sum of its proper divisors (21516820416).

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

5791968000 is a wasteful number, since it uses less digits than its factorization.

5791968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 5791968000 is about 76104.9801261389. The cubic root of 5791968000 is about 1795.8720219389.

The spelling of 5791968000 in words is "five billion, seven hundred ninety-one million, nine hundred sixty-eight thousand".