9978853222800 has 4320 divisors, whose sum is σ = 49679811717120. Its totient is φ = 1862358220800.

The previous prime is 9978853222771. The next prime is 9978853222957. The reversal of 9978853222800 is 82223588799.

9978853222800 is a `hidden beast` number, since 9 + 9 + 78 + 8 + 532 + 2 + 28 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 88308435544 + ... + 88308435656.

It is an arithmetic number, because the mean of its divisors is an integer number (11499956416).

Almost surely, 2^{9978853222800} is an apocalyptic number.

9978853222800 is a gapful number since it is divisible by the number (90) 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 9978853222800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24839905858560).

9978853222800 is an abundant number, since it is smaller than the sum of its proper divisors (39700958494320).

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

9978853222800 is a wasteful number, since it uses less digits than its factorization.

9978853222800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 9978853222800 in words is "nine trillion, nine hundred seventy-eight billion, eight hundred fifty-three million, two hundred twenty-two thousand, eight hundred".