26830702936960 has 384 divisors, whose sum is σ = 73153995264000. Its totient is φ = 9379830620160.

The previous prime is 26830702936927. The next prime is 26830702936963. The reversal of 26830702936960 is 6963920703862.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26830702936963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5324606121 + ... + 5324611159.

It is an arithmetic number, because the mean of its divisors is an integer number (190505196000).

Almost surely, 2^{26830702936960} is an apocalyptic number.

26830702936960 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 26830702936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36576997632000).

26830702936960 is an abundant number, since it is smaller than the sum of its proper divisors (46323292327040).

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

26830702936960 is a wasteful number, since it uses less digits than its factorization.

26830702936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7694 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 61.

The spelling of 26830702936960 in words is "twenty-six trillion, eight hundred thirty billion, seven hundred two million, nine hundred thirty-six thousand, nine hundred sixty".