26086769280 has 1792 divisors, whose sum is σ = 121368119040. Its totient is φ = 5255331840.

The previous prime is 26086769249. The next prime is 26086769281. The reversal of 26086769280 is 8296768062.

26086769280 is a `hidden beast` number, since 2 + 608 + 6 + 7 + 6 + 9 + 28 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26086769281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1134207349 + ... + 1134207371.

It is an arithmetic number, because the mean of its divisors is an integer number (67727745).

Almost surely, 2^26086769280 is an apocalyptic number.

26086769280 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 26086769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60684059520).

26086769280 is an abundant number, since it is smaller than the sum of its proper divisors (95281349760).

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

26086769280 is a wasteful number, since it uses less digits than its factorization.

26086769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 26086769280 in words is "twenty-six billion, eighty-six million, seven hundred sixty-nine thousand, two hundred eighty".