26275492114720 has 192 divisors, whose sum is σ = 65561547744000. Its totient is φ = 9931329847296.

The previous prime is 26275492114709. The next prime is 26275492114727. The reversal of 26275492114720 is 2741129457262.

It is a super-3 number, since 3×26275492114720³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (26275492114727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369734551 + ... + 369805609.

It is an arithmetic number, because the mean of its divisors is an integer number (341466394500).

Almost surely, 2^{26275492114720} is an apocalyptic number.

26275492114720 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 26275492114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32780773872000).

26275492114720 is an abundant number, since it is smaller than the sum of its proper divisors (39286055629280).

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

26275492114720 is a wasteful number, since it uses less digits than its factorization.

26275492114720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72315 (or 72307 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 26275492114720 in words is "twenty-six trillion, two hundred seventy-five billion, four hundred ninety-two million, one hundred fourteen thousand, seven hundred twenty".