26281863216000 has 768 divisors, whose sum is σ = 107978153512320. Its totient is φ = 6001164288000.

The previous prime is 26281863215957. The next prime is 26281863216001. The reversal of 26281863216000 is 61236818262.

26281863216000 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 1 + 8 + 6 + 32 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26281863216001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1029155232 + ... + 1029180768.

Almost surely, 2^{26281863216000} is an apocalyptic number.

26281863216000 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 26281863216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53989076756160).

26281863216000 is an abundant number, since it is smaller than the sum of its proper divisors (81696290296320).

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

26281863216000 is a wasteful number, since it uses less digits than its factorization.

26281863216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26600 (or 26575 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26281863216000 in words is "twenty-six trillion, two hundred eighty-one billion, eight hundred sixty-three million, two hundred sixteen thousand".