5986451128320 has 2176 divisors, whose sum is σ = 25028730961920. Its totient is φ = 1345364951040.

The previous prime is 5986451128313. The next prime is 5986451128321. The reversal of 5986451128320 is 238211546895.

5986451128320 is a `hidden beast` number, since 5 + 9 + 86 + 4 + 511 + 28 + 3 + 20 = 666.

It is a super-2 number, since 2×5986451128320² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5986451128321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82006179804 + ... + 82006179876.

Almost surely, 2^{5986451128320} 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 5986451128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12514365480960).

5986451128320 is an abundant number, since it is smaller than the sum of its proper divisors (19042279833600).

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

5986451128320 is a wasteful number, since it uses less digits than its factorization.

5986451128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 5986451128320 in words is "five trillion, nine hundred eighty-six billion, four hundred fifty-one million, one hundred twenty-eight thousand, three hundred twenty".