978889992960 has 288 divisors, whose sum is σ = 3420711770112. Its totient is φ = 236599050240.

The previous prime is 978889992943. The next prime is 978889993033. The reversal of 978889992960 is 69299988879.

978889992960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14200497 + ... + 14269263.

It is an arithmetic number, because the mean of its divisors is an integer number (11877471424).

Almost surely, 2^978889992960 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 978889992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710355885056).

978889992960 is an abundant number, since it is smaller than the sum of its proper divisors (2441821777152).

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

978889992960 is a wasteful number, since it uses less digits than its factorization.

978889992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69139 (or 69125 counting only the distinct ones).

The product of its (nonzero) digits is 2539579392, while the sum is 84.

The spelling of 978889992960 in words is "nine hundred seventy-eight billion, eight hundred eighty-nine million, nine hundred ninety-two thousand, nine hundred sixty".