26402837306880 has 640 divisors, whose sum is σ = 86075485816320. Its totient is φ = 6903300096000.

The previous prime is 26402837306827. The next prime is 26402837306887. The reversal of 26402837306880 is 8860373820462.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 26402837306880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26402837306887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63013931311 + ... + 63013931729.

It is an arithmetic number, because the mean of its divisors is an integer number (134492946588).

Almost surely, 2^{26402837306880} is an apocalyptic number.

26402837306880 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 26402837306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43037742908160).

26402837306880 is an abundant number, since it is smaller than the sum of its proper divisors (59672648509440).

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

26402837306880 is a wasteful number, since it uses less digits than its factorization.

26402837306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 26402837306880 in words is "twenty-six trillion, four hundred two billion, eight hundred thirty-seven million, three hundred six thousand, eight hundred eighty".