26701896612864 has 704 divisors, whose sum is σ = 81775151677440. Its totient is φ = 7672014766080.

The previous prime is 26701896612691. The next prime is 26701896612887. The reversal of 26701896612864 is 46821669810762.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 26701896612795 and 26701896612804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12818960367 + ... + 12818962449.

Almost surely, 2^{26701896612864} is an apocalyptic number.

26701896612864 is a gapful number since it is divisible by the number (24) 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 26701896612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40887575838720).

26701896612864 is an abundant number, since it is smaller than the sum of its proper divisors (55073255064576).

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

26701896612864 is a wasteful number, since it uses less digits than its factorization.

26701896612864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 26701896612864 in words is "twenty-six trillion, seven hundred one billion, eight hundred ninety-six million, six hundred twelve thousand, eight hundred sixty-four".