26349793817760 has 1152 divisors, whose sum is σ = 108507913113600. Its totient is φ = 5814324633600.

The previous prime is 26349793817707. The next prime is 26349793817783. The reversal of 26349793817760 is 6771839794362.

26349793817760 is a `hidden beast` number, since 2 + 6 + 3 + 497 + 9 + 3 + 8 + 1 + 77 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7058608854 + ... + 7058612586.

It is an arithmetic number, because the mean of its divisors is an integer number (94190896800).

Almost surely, 2^{26349793817760} is an apocalyptic number.

26349793817760 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 26349793817760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54253956556800).

26349793817760 is an abundant number, since it is smaller than the sum of its proper divisors (82158119295840).

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

26349793817760 is a wasteful number, since it uses less digits than its factorization.

26349793817760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 26349793817760 in words is "twenty-six trillion, three hundred forty-nine billion, seven hundred ninety-three million, eight hundred seventeen thousand, seven hundred sixty".