5872963719168 has 1872 divisors, whose sum is σ = 22555348320960. Its totient is φ = 1512962260992.

The previous prime is 5872963719121. The next prime is 5872963719169. The reversal of 5872963719168 is 8619173692785.

5872963719168 is a `hidden beast` number, since 5 + 8 + 7 + 2 + 96 + 371 + 9 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-2 number, since 2×5872963719168² (a number of 26 digits) contains 22 as substring.

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 = 5872963719096 and 5872963719105.

It is not an unprimeable number, because it can be changed into a prime (5872963719169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37407412146 + ... + 37407412302.

It is an arithmetic number, because the mean of its divisors is an integer number (12048797180).

Almost surely, 2^{5872963719168} 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 5872963719168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11277674160480).

5872963719168 is an abundant number, since it is smaller than the sum of its proper divisors (16682384601792).

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

5872963719168 is a wasteful number, since it uses less digits than its factorization.

5872963719168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 241 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 5872963719168 in words is "five trillion, eight hundred seventy-two billion, nine hundred sixty-three million, seven hundred nineteen thousand, one hundred sixty-eight".