26778899169792 has 1920 divisors, whose sum is σ = 104205029879808. Its totient is φ = 6414424473600.

The previous prime is 26778899169787. The next prime is 26778899169797. The reversal of 26778899169792 is 29796199887762.

It is a happy number.

26778899169792 is a `hidden beast` number, since 267 + 7 + 88 + 99 + 16 + 97 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (26778899169787) and next prime (26778899169797).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26778899169797) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39555242158 + ... + 39555242834.

Almost surely, 2^{26778899169792} is an apocalyptic number.

26778899169792 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 26778899169792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52102514939904).

26778899169792 is an abundant number, since it is smaller than the sum of its proper divisors (77426130710016).

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

26778899169792 is a wasteful number, since it uses less digits than its factorization.

26778899169792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 891 counting only the distinct ones).

The product of its digits is 20739898368, while the sum is 90.

The spelling of 26778899169792 in words is "twenty-six trillion, seven hundred seventy-eight billion, eight hundred ninety-nine million, one hundred sixty-nine thousand, seven hundred ninety-two".