26242683012000 has 3456 divisors, whose sum is σ = 124088141818368. Its totient is φ = 5123948544000.

The previous prime is 26242683011977. The next prime is 26242683012011. The reversal of 26242683012000 is 21038624262.

26242683012000 is a `hidden beast` number, since 2 + 624 + 2 + 6 + 8 + 3 + 0 + 1 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 48507731730 + ... + 48507732270.

It is an arithmetic number, because the mean of its divisors is an integer number (35905133628).

Almost surely, 2^{26242683012000} is an apocalyptic number.

26242683012000 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 26242683012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62044070909184).

26242683012000 is an abundant number, since it is smaller than the sum of its proper divisors (97845458806368).

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

26242683012000 is a wasteful number, since it uses less digits than its factorization.

26242683012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 26242683012000 in words is "twenty-six trillion, two hundred forty-two billion, six hundred eighty-three million, twelve thousand".