26994853440 has 672 divisors, whose sum is σ = 103561286400. Its totient is φ = 6423183360.

The previous prime is 26994853439. The next prime is 26994853447. The reversal of 26994853440 is 4435849962.

26994853440 is a `hidden beast` number, since 2 + 6 + 99 + 485 + 34 + 40 = 666.

It is a super-2 number, since 2×26994853440² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26994853447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112011720 + ... + 112011960.

Almost surely, 2^26994853440 is an apocalyptic number.

26994853440 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 26994853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51780643200).

26994853440 is an abundant number, since it is smaller than the sum of its proper divisors (76566432960).

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

26994853440 is a wasteful number, since it uses less digits than its factorization.

26994853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 26994853440 in words is "twenty-six billion, nine hundred ninety-four million, eight hundred fifty-three thousand, four hundred forty".