9978055808000 has 2112 divisors, whose sum is σ = 32757638584320. Its totient is φ = 3009871872000.

The previous prime is 9978055807961. The next prime is 9978055808003. The reversal of 9978055808000 is 8085508799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9978055808003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136685695964 + ... + 136685696036.

Almost surely, 2^{9978055808000} 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 9978055808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378819292160).

9978055808000 is an abundant number, since it is smaller than the sum of its proper divisors (22779582776320).

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

9978055808000 is a wasteful number, since it uses less digits than its factorization.

9978055808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 59.

The spelling of 9978055808000 in words is "nine trillion, nine hundred seventy-eight billion, fifty-five million, eight hundred eight thousand".