10978304688 has 240 divisors, whose sum is σ = 33939383296. Its totient is φ = 3292047360.

The previous prime is 10978304681. The next prime is 10978304717. The reversal of 10978304688 is 88640387901.

10978304688 is a `hidden beast` number, since 10 + 97 + 83 + 0 + 468 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10978304681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14502006 + ... + 14502762.

Almost surely, 2^10978304688 is an apocalyptic number.

10978304688 is a gapful number since it is divisible by the number (18) 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 10978304688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16969691648).

10978304688 is an abundant number, since it is smaller than the sum of its proper divisors (22961078608).

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

10978304688 is a wasteful number, since it uses less digits than its factorization.

10978304688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10978304688 in words is "ten billion, nine hundred seventy-eight million, three hundred four thousand, six hundred eighty-eight".