26742033296160 has 2304 divisors, whose sum is σ = 113918689640448. Its totient is φ = 5128726118400.

The previous prime is 26742033296137. The next prime is 26742033296171. The reversal of 26742033296160 is 6169233024762.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 110962793640 + ... + 110962793880.

It is an arithmetic number, because the mean of its divisors is an integer number (49443875712).

Almost surely, 2^{26742033296160} is an apocalyptic number.

26742033296160 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 26742033296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56959344820224).

26742033296160 is an abundant number, since it is smaller than the sum of its proper divisors (87176656344288).

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

26742033296160 is a wasteful number, since it uses less digits than its factorization.

26742033296160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 51.

The spelling of 26742033296160 in words is "twenty-six trillion, seven hundred forty-two billion, thirty-three million, two hundred ninety-six thousand, one hundred sixty".