26117057772 has 480 divisors, whose sum is σ = 83328537600. Its totient is φ = 7074542592.

The previous prime is 26117057761. The next prime is 26117057777. The reversal of 26117057772 is 27775071162.

26117057772 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 7 + 0 + 577 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26117057777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 330595629 + ... + 330595707.

It is an arithmetic number, because the mean of its divisors is an integer number (173601120).

Almost surely, 2^26117057772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26117057772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664268800).

26117057772 is an abundant number, since it is smaller than the sum of its proper divisors (57211479828).

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

26117057772 is a wasteful number, since it uses less digits than its factorization.

26117057772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 45.

The spelling of 26117057772 in words is "twenty-six billion, one hundred seventeen million, fifty-seven thousand, seven hundred seventy-two".