10947778560 has 480 divisors, whose sum is σ = 40028068080. Its totient is φ = 2861236224.

The previous prime is 10947778531. The next prime is 10947778577. The reversal of 10947778560 is 6587774901.

10947778560 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 7 + 7 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10947778497 and 10947778506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55572382 + ... + 55572578.

Almost surely, 2^10947778560 is an apocalyptic number.

10947778560 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 10947778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20014034040).

10947778560 is an abundant number, since it is smaller than the sum of its proper divisors (29080289520).

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

10947778560 is an equidigital number, since it uses as much as digits as its factorization.

10947778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 10947778560 in words is "ten billion, nine hundred forty-seven million, seven hundred seventy-eight thousand, five hundred sixty".