26779484160 has 768 divisors, whose sum is σ = 109922641920. Its totient is φ = 5945425920.

The previous prime is 26779484159. The next prime is 26779484183. The reversal of 26779484160 is 6148497762.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 26779484097 and 26779484106.

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 47 ways as a sum of consecutive naturals, for example, 210862017 + ... + 210862143.

It is an arithmetic number, because the mean of its divisors is an integer number (143128440).

Almost surely, 2^26779484160 is an apocalyptic number.

26779484160 is a gapful number since it is divisible by the number (20) 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 26779484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54961320960).

26779484160 is an abundant number, since it is smaller than the sum of its proper divisors (83143157760).

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

26779484160 is a wasteful number, since it uses less digits than its factorization.

26779484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 26779484160 in words is "twenty-six billion, seven hundred seventy-nine million, four hundred eighty-four thousand, one hundred sixty".