10779922560 has 256 divisors, whose sum is σ = 37789286400. Its totient is φ = 2592092160.

The previous prime is 10779922519. The next prime is 10779922561. The reversal of 10779922560 is 6522997701.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10779922561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2680231 + ... + 2684249.

It is an arithmetic number, because the mean of its divisors is an integer number (147614400).

Almost surely, 2^10779922560 is an apocalyptic number.

10779922560 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 10779922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18894643200).

10779922560 is an abundant number, since it is smaller than the sum of its proper divisors (27009363840).

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

10779922560 is a wasteful number, since it uses less digits than its factorization.

10779922560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

It can be divided in two parts, 10779 and 922560, that added together give a palindrome (933339).

The spelling of 10779922560 in words is "ten billion, seven hundred seventy-nine million, nine hundred twenty-two thousand, five hundred sixty".