26413778160 has 1280 divisors, whose sum is σ = 120677990400. Its totient is φ = 5150822400.

The previous prime is 26413778143. The next prime is 26413778201. The reversal of 26413778160 is 6187731462.

26413778160 is a `hidden beast` number, since 2 + 6 + 413 + 7 + 78 + 160 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 242328186 + ... + 242328294.

It is an arithmetic number, because the mean of its divisors is an integer number (94279680).

Almost surely, 2^26413778160 is an apocalyptic number.

26413778160 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 26413778160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60338995200).

26413778160 is an abundant number, since it is smaller than the sum of its proper divisors (94264212240).

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

26413778160 is a wasteful number, since it uses less digits than its factorization.

26413778160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 26413778160 in words is "twenty-six billion, four hundred thirteen million, seven hundred seventy-eight thousand, one hundred sixty".