26397760897728 has 336 divisors, whose sum is σ = 85637303431680. Its totient is φ = 7995849292800.

The previous prime is 26397760897691. The next prime is 26397760897757. The reversal of 26397760897728 is 82779806779362.

26397760897728 is a `hidden beast` number, since 2 + 6 + 397 + 7 + 60 + 89 + 77 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408658713 + ... + 408723303.

It is an arithmetic number, because the mean of its divisors is an integer number (254872926880).

Almost surely, 2^{26397760897728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26397760897728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42818651715840).

26397760897728 is an abundant number, since it is smaller than the sum of its proper divisors (59239542533952).

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

26397760897728 is a wasteful number, since it uses less digits than its factorization.

26397760897728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67018 (or 66996 counting only the distinct ones).

The product of its (nonzero) digits is 5377010688, while the sum is 81.

The spelling of 26397760897728 in words is "twenty-six trillion, three hundred ninety-seven billion, seven hundred sixty million, eight hundred ninety-seven thousand, seven hundred twenty-eight".