26681514245664 has 384 divisors, whose sum is σ = 78467777740800. Its totient is φ = 7898709012480.

The previous prime is 26681514245629. The next prime is 26681514245671. The reversal of 26681514245664 is 46654241518662.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 26681514245598 and 26681514245607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2203438842 + ... + 2203450950.

It is an arithmetic number, because the mean of its divisors is an integer number (204343171200).

Almost surely, 2^{26681514245664} is an apocalyptic number.

26681514245664 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 26681514245664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39233888870400).

26681514245664 is an abundant number, since it is smaller than the sum of its proper divisors (51786263495136).

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

26681514245664 is a wasteful number, since it uses less digits than its factorization.

26681514245664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13208 (or 13200 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 60.

The spelling of 26681514245664 in words is "twenty-six trillion, six hundred eighty-one billion, five hundred fourteen million, two hundred forty-five thousand, six hundred sixty-four".