978975396870912 has 1440 divisors, whose sum is σ = 3415174197950592. Its totient is φ = 273167944777728.

The previous prime is 978975396870901. The next prime is 978975396870931. The reversal of 978975396870912 is 219078693579879.

978975396870912 is a `hidden beast` number, since 9 + 7 + 8 + 9 + 7 + 539 + 68 + 7 + 0 + 9 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 895677398238 + ... + 895677399330.

Almost surely, 2^{978975396870912} 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 978975396870912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707587098975296).

978975396870912 is an abundant number, since it is smaller than the sum of its proper divisors (2436198801079680).

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

978975396870912 is a wasteful number, since it uses less digits than its factorization.

978975396870912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 25924872960, while the sum is 90.

The spelling of 978975396870912 in words is "nine hundred seventy-eight trillion, nine hundred seventy-five billion, three hundred ninety-six million, eight hundred seventy thousand, nine hundred twelve".