10979206560 has 1008 divisors, whose sum is σ = 48324144456. Its totient is φ = 2341011456.

The previous prime is 10979206529. The next prime is 10979206571. The reversal of 10979206560 is 6560297901.

It is a happy number.

10979206560 is a `hidden beast` number, since 10 + 9 + 79 + 2 + 0 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7041895056 + 3937311504 = 83916^2 + 62748^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 97161064 + ... + 97161176.

Almost surely, 2^10979206560 is an apocalyptic number.

10979206560 is a gapful number since it is divisible by the number (10) 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 10979206560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24162072228).

10979206560 is an abundant number, since it is smaller than the sum of its proper divisors (37344937896).

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

10979206560 is a wasteful number, since it uses less digits than its factorization.

10979206560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 10979206560 in words is "ten billion, nine hundred seventy-nine million, two hundred six thousand, five hundred sixty".