26271417228 has 288 divisors, whose sum is σ = 77772441600. Its totient is φ = 6855045120.

The previous prime is 26271417223. The next prime is 26271417247. The reversal of 26271417228 is 82271417262.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 26271417228.

It is not an unprimeable number, because it can be changed into a prime (26271417223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93492448 + ... + 93492728.

It is an arithmetic number, because the mean of its divisors is an integer number (270043200).

Almost surely, 2^26271417228 is an apocalyptic number.

26271417228 is a gapful number since it is divisible by the number (28) 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 26271417228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38886220800).

26271417228 is an abundant number, since it is smaller than the sum of its proper divisors (51501024372).

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

26271417228 is a wasteful number, since it uses less digits than its factorization.

26271417228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 556 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The spelling of 26271417228 in words is "twenty-six billion, two hundred seventy-one million, four hundred seventeen thousand, two hundred twenty-eight".