9978011930880 has 720 divisors, whose sum is σ = 41472697077504. Its totient is φ = 2243290152960.

The previous prime is 9978011930867. The next prime is 9978011930881. The reversal of 9978011930880 is 880391108799.

It is a tau number, because it is divible by the number of its divisors (720).

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 (9978011930881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44158669 + ... + 44384051.

Almost surely, 2^{9978011930880} is an apocalyptic number.

9978011930880 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 9978011930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736348538752).

9978011930880 is an abundant number, since it is smaller than the sum of its proper divisors (31494685146624).

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

9978011930880 is a wasteful number, since it uses less digits than its factorization.

9978011930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225484 (or 225461 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 63.

The spelling of 9978011930880 in words is "nine trillion, nine hundred seventy-eight billion, eleven million, nine hundred thirty thousand, eight hundred eighty".