26749895680 has 176 divisors, whose sum is σ = 66843065520. Its totient is φ = 10262937600.

The previous prime is 26749895659. The next prime is 26749895701. The reversal of 26749895680 is 8659894762.

It is an interprime number because it is at equal distance from previous prime (26749895659) and next prime (26749895701).

It can be written as a sum of positive squares in 8 ways, for example, as 4817470464 + 21932425216 = 69408^2 + 148096^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12804076 + ... + 12806164.

It is an arithmetic number, because the mean of its divisors is an integer number (379790145).

Almost surely, 2^26749895680 is an apocalyptic number.

26749895680 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 26749895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33421532760).

26749895680 is an abundant number, since it is smaller than the sum of its proper divisors (40093169840).

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

26749895680 is a wasteful number, since it uses less digits than its factorization.

26749895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 26749895680 in words is "twenty-six billion, seven hundred forty-nine million, eight hundred ninety-five thousand, six hundred eighty".