26485965792 has 288 divisors, whose sum is σ = 91768360320. Its totient is φ = 7408350720.

The previous prime is 26485965773. The next prime is 26485965817. The reversal of 26485965792 is 29756958462.

26485965792 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 59 + 6 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100059 + ... + 1123877.

It is an arithmetic number, because the mean of its divisors is an integer number (318640140).

Almost surely, 2^26485965792 is an apocalyptic number.

26485965792 is a gapful number since it is divisible by the number (22) 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 26485965792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45884180160).

26485965792 is an abundant number, since it is smaller than the sum of its proper divisors (65282394528).

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

26485965792 is a wasteful number, since it uses less digits than its factorization.

26485965792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23868 (or 23848 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 26485965792 in words is "twenty-six billion, four hundred eighty-five million, nine hundred sixty-five thousand, seven hundred ninety-two".