5851791431460 has 672 divisors, whose sum is σ = 21047849585280. Its totient is φ = 1353215102976.

The previous prime is 5851791431419. The next prime is 5851791431491. The reversal of 5851791431460 is 641341971585.

5851791431460 is a `hidden beast` number, since 5 + 8 + 5 + 179 + 1 + 4 + 3 + 1 + 460 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5851791431397 and 5851791431406.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2200747611 + ... + 2200750269.

It is an arithmetic number, because the mean of its divisors is an integer number (31321204740).

Almost surely, 2^{5851791431460} 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 5851791431460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523924792640).

5851791431460 is an abundant number, since it is smaller than the sum of its proper divisors (15196058153820).

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

5851791431460 is a wasteful number, since it uses less digits than its factorization.

5851791431460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 5851791431460 in words is "five trillion, eight hundred fifty-one billion, seven hundred ninety-one million, four hundred thirty-one thousand, four hundred sixty".