26228606976 has 768 divisors, whose sum is σ = 95103590400. Its totient is φ = 7033651200.

The previous prime is 26228606969. The next prime is 26228607001. The reversal of 26228606976 is 67960682262.

26228606976 is a `hidden beast` number, since 2 + 6 + 2 + 28 + 606 + 9 + 7 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245127115 + ... + 245127221.

It is an arithmetic number, because the mean of its divisors is an integer number (123832800).

Almost surely, 2^26228606976 is an apocalyptic number.

26228606976 is a gapful number since it is divisible by the number (26) 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 26228606976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47551795200).

26228606976 is an abundant number, since it is smaller than the sum of its proper divisors (68874983424).

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

26228606976 is a wasteful number, since it uses less digits than its factorization.

26228606976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 26228606976 in words is "twenty-six billion, two hundred twenty-eight million, six hundred six thousand, nine hundred seventy-six".