26980727260032 has 1344 divisors, whose sum is σ = 100255123332000. Its totient is φ = 7078502006784.

The previous prime is 26980727260009. The next prime is 26980727260073. The reversal of 26980727260032 is 23006272708962.

26980727260032 is a `hidden beast` number, since 2 + 6 + 9 + 8 + 0 + 7 + 27 + 2 + 600 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 25720425844 + ... + 25720426892.

Almost surely, 2^{26980727260032} 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 26980727260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50127561666000).

26980727260032 is an abundant number, since it is smaller than the sum of its proper divisors (73274396071968).

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

26980727260032 is a wasteful number, since it uses less digits than its factorization.

26980727260032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

Adding to 26980727260032 its reverse (23006272708962), we get a palindrome (49986999968994).

The spelling of 26980727260032 in words is "twenty-six trillion, nine hundred eighty billion, seven hundred twenty-seven million, two hundred sixty thousand, thirty-two".