5851425984768 has 1728 divisors, whose sum is σ = 23046639616000. Its totient is φ = 1413385666560.

The previous prime is 5851425984763. The next prime is 5851425984773. The reversal of 5851425984768 is 8674895241585.

5851425984768 is a `hidden beast` number, since 5 + 8 + 5 + 142 + 5 + 9 + 8 + 476 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5851425984763) and next prime (5851425984773).

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

It is a junction number, because it is equal to n+sod(n) for n = 5851425984696 and 5851425984705.

It is not an unprimeable number, because it can be changed into a prime (5851425984763) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6051112221 + ... + 6051113187.

Almost surely, 2^{5851425984768} 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 5851425984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11523319808000).

5851425984768 is an abundant number, since it is smaller than the sum of its proper divisors (17195213631232).

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

5851425984768 is a wasteful number, since it uses less digits than its factorization.

5851425984768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1042 counting only the distinct ones).

The product of its digits is 774144000, while the sum is 72.

The spelling of 5851425984768 in words is "five trillion, eight hundred fifty-one billion, four hundred twenty-five million, nine hundred eighty-four thousand, seven hundred sixty-eight".