868011326800128 has 1728 divisors, whose sum is σ = 3070022523321600. Its totient is φ = 241117491363840.

The previous prime is 868011326800103. The next prime is 868011326800139. The reversal of 868011326800128 is 821008623110868.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1224275495838 + ... + 1224275496546.

It is an arithmetic number, because the mean of its divisors is an integer number (1776633404700).

Almost surely, 2^{868011326800128} 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 868011326800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535011261660800).

868011326800128 is an abundant number, since it is smaller than the sum of its proper divisors (2202011196521472).

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

868011326800128 is a wasteful number, since it uses less digits than its factorization.

868011326800128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 868011326800128 in words is "eight hundred sixty-eight trillion, eleven billion, three hundred twenty-six million, eight hundred thousand, one hundred twenty-eight".