26760641431552 has 192 divisors, whose sum is σ = 63512341401600. Its totient is φ = 11030762373120.

The previous prime is 26760641431549. The next prime is 26760641431561. The reversal of 26760641431552 is 25513414606762.

It is a super-2 number, since 2×26760641431552² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26760641431552.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72255099 + ... + 72624517.

It is an arithmetic number, because the mean of its divisors is an integer number (330793444800).

Almost surely, 2^{26760641431552} 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 26760641431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31756170700800).

26760641431552 is an abundant number, since it is smaller than the sum of its proper divisors (36751699970048).

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

26760641431552 is a wasteful number, since it uses less digits than its factorization.

26760641431552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369642 (or 369622 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 26760641431552 in words is "twenty-six trillion, seven hundred sixty billion, six hundred forty-one million, four hundred thirty-one thousand, five hundred fifty-two".