26094880001952 has 288 divisors, whose sum is σ = 77493544128000. Its totient is φ = 8322428975616.

The previous prime is 26094880001951. The next prime is 26094880001959. The reversal of 26094880001952 is 25910008849062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (26094880001951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206712549 + ... + 206838747.

It is an arithmetic number, because the mean of its divisors is an integer number (269074806000).

Almost surely, 2^{26094880001952} 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 26094880001952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38746772064000).

26094880001952 is an abundant number, since it is smaller than the sum of its proper divisors (51398664126048).

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

26094880001952 is a wasteful number, since it uses less digits than its factorization.

26094880001952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126600 (or 126589 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 26094880001952 in words is "twenty-six trillion, ninety-four billion, eight hundred eighty million, one thousand, nine hundred fifty-two".