978696956160 has 864 divisors, whose sum is σ = 4232636448768. Its totient is φ = 202841210880.

The previous prime is 978696956123. The next prime is 978696956183. The reversal of 978696956160 is 61659696879.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 410698329 + ... + 410700711.

Almost surely, 2^978696956160 is an apocalyptic number.

978696956160 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 978696956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116318224384).

978696956160 is an abundant number, since it is smaller than the sum of its proper divisors (3253939492608).

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

978696956160 is a wasteful number, since it uses less digits than its factorization.

978696956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 978696956160 in words is "nine hundred seventy-eight billion, six hundred ninety-six million, nine hundred fifty-six thousand, one hundred sixty".