26042916959136 has 1536 divisors, whose sum is σ = 99096872878080. Its totient is φ = 6457190400000.

The previous prime is 26042916959113. The next prime is 26042916959141. The reversal of 26042916959136 is 63195961924062.

26042916959136 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 2 + 9 + 1 + 6 + 9 + 591 + 36 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75051633715 + ... + 75051634061.

It is an arithmetic number, because the mean of its divisors is an integer number (64516193280).

Almost surely, 2^{26042916959136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26042916959136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49548436439040).

26042916959136 is an abundant number, since it is smaller than the sum of its proper divisors (73053955918944).

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

26042916959136 is a wasteful number, since it uses less digits than its factorization.

26042916959136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 26042916959136 in words is "twenty-six trillion, forty-two billion, nine hundred sixteen million, nine hundred fifty-nine thousand, one hundred thirty-six".