863951326056 has 1152 divisors, whose sum is σ = 3163757875200. Its totient is φ = 207869276160.

The previous prime is 863951326033. The next prime is 863951326067. The reversal of 863951326056 is 650623159368.

It is a happy number.

863951326056 is a `hidden beast` number, since 8 + 63 + 9 + 513 + 2 + 60 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 863951325993 and 863951326011.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 8387876901 + ... + 8387877003.

It is an arithmetic number, because the mean of its divisors is an integer number (2746317600).

Almost surely, 2^863951326056 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 863951326056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581878937600).

863951326056 is an abundant number, since it is smaller than the sum of its proper divisors (2299806549144).

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

863951326056 is a wasteful number, since it uses less digits than its factorization.

863951326056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 863951326056 in words is "eight hundred sixty-three billion, nine hundred fifty-one million, three hundred twenty-six thousand, fifty-six".