26560397160 has 384 divisors, whose sum is σ = 99632332800. Its totient is φ = 6068805120.

The previous prime is 26560397159. The next prime is 26560397173. The reversal of 26560397160 is 6179306562.

26560397160 is a `hidden beast` number, since 26 + 5 + 603 + 9 + 7 + 16 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 16777729 + ... + 16779311.

It is an arithmetic number, because the mean of its divisors is an integer number (259459200).

Almost surely, 2^26560397160 is an apocalyptic number.

26560397160 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 26560397160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49816166400).

26560397160 is an abundant number, since it is smaller than the sum of its proper divisors (73071935640).

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

26560397160 is a wasteful number, since it uses less digits than its factorization.

26560397160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 26560397160 in words is "twenty-six billion, five hundred sixty million, three hundred ninety-seven thousand, one hundred sixty".