868891968000 has 1280 divisors, whose sum is σ = 3796407014400. Its totient is φ = 191678054400.

The previous prime is 868891967903. The next prime is 868891968001. The reversal of 868891968000 is 869198868.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (868891968001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 350782762 + ... + 350785238.

It is an arithmetic number, because the mean of its divisors is an integer number (2965942980).

Almost surely, 2^868891968000 is an apocalyptic number.

868891968000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868891968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898203507200).

868891968000 is an abundant number, since it is smaller than the sum of its proper divisors (2927515046400).

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

868891968000 is a wasteful number, since it uses less digits than its factorization.

868891968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 868891968000 in words is "eight hundred sixty-eight billion, eight hundred ninety-one million, nine hundred sixty-eight thousand".