26663661984960 has 5040 divisors, whose sum is σ = 136277412049152. Its totient is φ = 4881984307200.

The previous prime is 26663661984907. The next prime is 26663661985069. The reversal of 26663661984960 is 6948916636662.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 719 ways as a sum of consecutive naturals, for example, 54304810315 + ... + 54304810805.

Almost surely, 2^{26663661984960} is an apocalyptic number.

26663661984960 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 26663661984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68138706024576).

26663661984960 is an abundant number, since it is smaller than the sum of its proper divisors (109613750064192).

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

26663661984960 is a wasteful number, since it uses less digits than its factorization.

26663661984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 72.

The spelling of 26663661984960 in words is "twenty-six trillion, six hundred sixty-three billion, six hundred sixty-one million, nine hundred eighty-four thousand, nine hundred sixty".