26940067776000 has 1280 divisors, whose sum is σ = 105481284480000. Its totient is φ = 6759007027200.

The previous prime is 26940067775989. The next prime is 26940067776001. The reversal of 26940067776000 is 67776004962.

It is a happy number.

26940067776000 is a `hidden beast` number, since 26 + 9 + 4 + 0 + 0 + 6 + 7 + 7 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26940067776001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4891965247 + ... + 4891970753.

It is an arithmetic number, because the mean of its divisors is an integer number (82407253500).

Almost surely, 2^{26940067776000} is an apocalyptic number.

26940067776000 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 26940067776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52740642240000).

26940067776000 is an abundant number, since it is smaller than the sum of its proper divisors (78541216704000).

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

26940067776000 is a wasteful number, since it uses less digits than its factorization.

26940067776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717 (or 5685 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 26940067776000 in words is "twenty-six trillion, nine hundred forty billion, sixty-seven million, seven hundred seventy-six thousand".