26142721127520 has 192 divisors, whose sum is σ = 82780731988416. Its totient is φ = 6934903234560.

The previous prime is 26142721127503. The next prime is 26142721127609. The reversal of 26142721127520 is 2572112724162.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 720623622 + ... + 720659898.

It is an arithmetic number, because the mean of its divisors is an integer number (431149645773).

Almost surely, 2^{26142721127520} is an apocalyptic number.

26142721127520 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 26142721127520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41390365994208).

26142721127520 is an abundant number, since it is smaller than the sum of its proper divisors (56638010860896).

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

26142721127520 is a wasteful number, since it uses less digits than its factorization.

26142721127520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44113 (or 44105 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 26142721127520 in words is "twenty-six trillion, one hundred forty-two billion, seven hundred twenty-one million, one hundred twenty-seven thousand, five hundred twenty".