26945283456 has 576 divisors, whose sum is σ = 98661719520. Its totient is φ = 6995165184.

The previous prime is 26945283361. The next prime is 26945283571. The reversal of 26945283456 is 65438254962.

26945283456 is a `hidden beast` number, since 2 + 69 + 4 + 52 + 83 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 53568901 + ... + 53569403.

Almost surely, 2^26945283456 is an apocalyptic number.

26945283456 is a gapful number since it is divisible by the number (26) 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 26945283456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49330859760).

26945283456 is an abundant number, since it is smaller than the sum of its proper divisors (71716436064).

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

26945283456 is a wasteful number, since it uses less digits than its factorization.

26945283456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 601 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 26945283456 in words is "twenty-six billion, nine hundred forty-five million, two hundred eighty-three thousand, four hundred fifty-six".