26601160680 has 96 divisors (see below), whose sum is σ = 86552935560. Its totient is φ = 7085506560.

The previous prime is 26601160673. The next prime is 26601160697. The reversal of 26601160680 is 8606110662.

It can be written as a sum of positive squares in 4 ways, for example, as 10708524324 + 15892636356 = 103482^2 + 126066^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 275224 + ... + 359096.

Almost surely, 2^26601160680 is an apocalyptic number.

26601160680 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 26601160680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43276467780).

26601160680 is an abundant number, since it is smaller than the sum of its proper divisors (59951774880).

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

26601160680 is a wasteful number, since it uses less digits than its factorization.

26601160680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84771 (or 84764 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 26601160680 in words is "twenty-six billion, six hundred one million, one hundred sixty thousand, six hundred eighty".