26746993527072 has 576 divisors, whose sum is σ = 92586262374144. Its totient is φ = 6596839342080.

The previous prime is 26746993526983. The next prime is 26746993527101. The reversal of 26746993527072 is 27072539964762.

It is a junction number, because it is equal to n+sod(n) for n = 26746993526988 and 26746993527006.

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, 303068872 + ... + 303157112.

It is an arithmetic number, because the mean of its divisors is an integer number (160740038844).

Almost surely, 2^{26746993527072} 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 26746993527072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46293131187072).

26746993527072 is an abundant number, since it is smaller than the sum of its proper divisors (65839268847072).

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

26746993527072 is a wasteful number, since it uses less digits than its factorization.

26746993527072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88461 (or 88440 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 69.

The spelling of 26746993527072 in words is "twenty-six trillion, seven hundred forty-six billion, nine hundred ninety-three million, five hundred twenty-seven thousand, seventy-two".