26197385760 has 576 divisors, whose sum is σ = 113595955200. Its totient is φ = 5348229120.

The previous prime is 26197385743. The next prime is 26197385803. The reversal of 26197385760 is 6758379162.

26197385760 is a `hidden beast` number, since 2 + 6 + 197 + 385 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26197385697 and 26197385706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4059016 + ... + 4065464.

It is an arithmetic number, because the mean of its divisors is an integer number (197215200).

Almost surely, 2^26197385760 is an apocalyptic number.

26197385760 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 26197385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56797977600).

26197385760 is an abundant number, since it is smaller than the sum of its proper divisors (87398569440).

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

26197385760 is a wasteful number, since it uses less digits than its factorization.

26197385760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 26197385760 in words is "twenty-six billion, one hundred ninety-seven million, three hundred eighty-five thousand, seven hundred sixty".