26642581066962 has 192 divisors, whose sum is σ = 69339444894720. Its totient is φ = 7235915524992.

The previous prime is 26642581066939. The next prime is 26642581066999. The reversal of 26642581066962 is 26966018524662.

It is a happy number.

26642581066962 is a `hidden beast` number, since 2 + 6 + 6 + 42 + 581 + 0 + 6 + 6 + 9 + 6 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 26642581066962.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29687364 + ... + 30571632.

It is an arithmetic number, because the mean of its divisors is an integer number (361142942160).

Almost surely, 2^{26642581066962} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26642581066962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34669722447360).

26642581066962 is an abundant number, since it is smaller than the sum of its proper divisors (42696863827758).

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

26642581066962 is a wasteful number, since it uses less digits than its factorization.

26642581066962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884477 (or 884474 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 26642581066962 in words is "twenty-six trillion, six hundred forty-two billion, five hundred eighty-one million, sixty-six thousand, nine hundred sixty-two".