26677265760 has 480 divisors, whose sum is σ = 101446152192. Its totient is φ = 6582850560.

The previous prime is 26677265749. The next prime is 26677265789. The reversal of 26677265760 is 6756277662.

26677265760 is a `hidden beast` number, since 2 + 6 + 67 + 7 + 2 + 6 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 26677265697 and 26677265706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9239037 + ... + 9241923.

Almost surely, 2^26677265760 is an apocalyptic number.

26677265760 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 26677265760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50723076096).

26677265760 is an abundant number, since it is smaller than the sum of its proper divisors (74768886432).

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

26677265760 is a wasteful number, since it uses less digits than its factorization.

26677265760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 26677265760 in words is "twenty-six billion, six hundred seventy-seven million, two hundred sixty-five thousand, seven hundred sixty".