26505077760 has 264 divisors, whose sum is σ = 104960596416. Its totient is φ = 6058229760.

The previous prime is 26505077743. The next prime is 26505077783. The reversal of 26505077760 is 6777050562.

26505077760 is a `hidden beast` number, since 2 + 6 + 505 + 0 + 77 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281475 + ... + 363645.

Almost surely, 2^26505077760 is an apocalyptic number.

26505077760 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 26505077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52480298208).

26505077760 is an abundant number, since it is smaller than the sum of its proper divisors (78455518656).

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

26505077760 is a wasteful number, since it uses less digits than its factorization.

26505077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82209 (or 82188 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 26505077760 in words is "twenty-six billion, five hundred five million, seventy-seven thousand, seven hundred sixty".