10978032672288 has 288 divisors, whose sum is σ = 34523644925952. Its totient is φ = 3281383526400.

The previous prime is 10978032672283. The next prime is 10978032672323. The reversal of 10978032672288 is 88227623087901.

10978032672288 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 80 + 326 + 7 + 228 + 8 = 666.

10978032672288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (10978032672283) 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, 69525268 + ... + 69682988.

It is an arithmetic number, because the mean of its divisors is an integer number (119873767104).

Almost surely, 2^{10978032672288} is an apocalyptic number.

10978032672288 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 10978032672288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17261822462976).

10978032672288 is an abundant number, since it is smaller than the sum of its proper divisors (23545612253664).

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

10978032672288 is a wasteful number, since it uses less digits than its factorization.

10978032672288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158048 (or 158037 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 10978032672288 in words is "ten trillion, nine hundred seventy-eight billion, thirty-two million, six hundred seventy-two thousand, two hundred eighty-eight".