5791895746560 has 4608 divisors, whose sum is σ = 28710717235200. Its totient is φ = 1083553873920.

The previous prime is 5791895746489. The next prime is 5791895746561. The reversal of 5791895746560 is 656475981975.

5791895746560 is a `hidden beast` number, since 5 + 7 + 9 + 1 + 8 + 9 + 57 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5791895746561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 134695249899 + ... + 134695249941.

It is an arithmetic number, because the mean of its divisors is an integer number (6230624400).

Almost surely, 2^{5791895746560} 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 5791895746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14355358617600).

5791895746560 is an abundant number, since it is smaller than the sum of its proper divisors (22918821488640).

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

5791895746560 is a wasteful number, since it uses less digits than its factorization.

5791895746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 72.

The spelling of 5791895746560 in words is "five trillion, seven hundred ninety-one billion, eight hundred ninety-five million, seven hundred forty-six thousand, five hundred sixty".