5856672064320 has 1344 divisors, whose sum is σ = 27359667302400. Its totient is φ = 1164037754880.

The previous prime is 5856672064319. The next prime is 5856672064351. The reversal of 5856672064320 is 234602766585.

5856672064320 is a `hidden beast` number, since 5 + 8 + 56 + 67 + 206 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107082741 + ... + 107137419.

Almost surely, 2^{5856672064320} 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 5856672064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13679833651200).

5856672064320 is an abundant number, since it is smaller than the sum of its proper divisors (21502995238080).

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

5856672064320 is a wasteful number, since it uses less digits than its factorization.

5856672064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54753 (or 54730 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 5856672064320 in words is "five trillion, eight hundred fifty-six billion, six hundred seventy-two million, sixty-four thousand, three hundred twenty".