8868871872000 has 2560 divisors, whose sum is σ = 39232603238400. Its totient is φ = 1932263424000.

The previous prime is 8868871871989. The next prime is 8868871872001. The reversal of 8868871872000 is 2781788688.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8868871872001) 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 255 ways as a sum of consecutive naturals, for example, 45952703904 + ... + 45952704096.

It is an arithmetic number, because the mean of its divisors is an integer number (15325235640).

Almost surely, 2^{8868871872000} is an apocalyptic number.

8868871872000 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 8868871872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19616301619200).

8868871872000 is an abundant number, since it is smaller than the sum of its proper divisors (30363731366400).

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

8868871872000 is a wasteful number, since it uses less digits than its factorization.

8868871872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 63.

The spelling of 8868871872000 in words is "eight trillion, eight hundred sixty-eight billion, eight hundred seventy-one million, eight hundred seventy-two thousand".