855968495616 has 288 divisors, whose sum is σ = 2665777121280. Its totient is φ = 263037321216.

The previous prime is 855968495563. The next prime is 855968495617. The reversal of 855968495616 is 616594869558.

It is a happy number.

855968495616 is a `hidden beast` number, since 8 + 5 + 59 + 6 + 8 + 4 + 9 + 561 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×855968495616² (a number of 25 digits) contains 22 as substring.

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 (855968495617) 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 23 ways as a sum of consecutive naturals, for example, 238895361 + ... + 238898943.

It is an arithmetic number, because the mean of its divisors is an integer number (9256170560).

Almost surely, 2^855968495616 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 855968495616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332888560640).

855968495616 is an abundant number, since it is smaller than the sum of its proper divisors (1809808625664).

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

855968495616 is a wasteful number, since it uses less digits than its factorization.

855968495616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621 (or 4598 counting only the distinct ones).

The product of its digits is 559872000, while the sum is 72.

The spelling of 855968495616 in words is "eight hundred fifty-five billion, nine hundred sixty-eight million, four hundred ninety-five thousand, six hundred sixteen".