8868898735200 has 864 divisors, whose sum is σ = 37992309211584. Its totient is φ = 1900460113920.

The previous prime is 8868898735199. The next prime is 8868898735219. The reversal of 8868898735200 is 25378988688.

8868898735200 is a `hidden beast` number, since 8 + 8 + 6 + 8 + 8 + 98 + 7 + 3 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220177462 + ... + 220217738.

It is an arithmetic number, because the mean of its divisors is an integer number (43972580106).

Almost surely, 2^{8868898735200} is an apocalyptic number.

8868898735200 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 8868898735200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18996154605792).

8868898735200 is an abundant number, since it is smaller than the sum of its proper divisors (29123410476384).

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

8868898735200 is a wasteful number, since it uses less digits than its factorization.

8868898735200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40584 (or 40568 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 8868898735200 in words is "eight trillion, eight hundred sixty-eight billion, eight hundred ninety-eight million, seven hundred thirty-five thousand, two hundred".