26680775022720 has 1152 divisors, whose sum is σ = 118539023016960. Its totient is φ = 5384540012544.

The previous prime is 26680775022701. The next prime is 26680775022721. The reversal of 26680775022720 is 2722057708662.

26680775022720 is a `hidden beast` number, since 2 + 6 + 68 + 0 + 7 + 7 + 502 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (26680775022721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 277232529 + ... + 277328751.

It is an arithmetic number, because the mean of its divisors is an integer number (102898457480).

Almost surely, 2^{26680775022720} is an apocalyptic number.

26680775022720 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 26680775022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59269511508480).

26680775022720 is an abundant number, since it is smaller than the sum of its proper divisors (91858247994240).

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

26680775022720 is a wasteful number, since it uses less digits than its factorization.

26680775022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96314 (or 96276 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 26680775022720 in words is "twenty-six trillion, six hundred eighty billion, seven hundred seventy-five million, twenty-two thousand, seven hundred twenty".