8978780918016 has 2304 divisors, whose sum is σ = 35141363712000. Its totient is φ = 2225800249344.

The previous prime is 8978780917993. The next prime is 8978780918053. The reversal of 8978780918016 is 6108190878798.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 87172630221 + ... + 87172630323.

It is an arithmetic number, because the mean of its divisors is an integer number (15252328000).

Almost surely, 2^{8978780918016} 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 8978780918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17570681856000).

8978780918016 is an abundant number, since it is smaller than the sum of its proper divisors (26162582793984).

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

8978780918016 is a wasteful number, since it uses less digits than its factorization.

8978780918016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 72.

The spelling of 8978780918016 in words is "eight trillion, nine hundred seventy-eight billion, seven hundred eighty million, nine hundred eighteen thousand, sixteen".