26893218240 has 784 divisors, whose sum is σ = 112576831488. Its totient is φ = 5988390912.

The previous prime is 26893218173. The next prime is 26893218259. The reversal of 26893218240 is 4281239862.

26893218240 is a `hidden beast` number, since 2 + 6 + 89 + 321 + 8 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 70217089 + ... + 70217471.

Almost surely, 2^26893218240 is an apocalyptic number.

26893218240 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 26893218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56288415744).

26893218240 is an abundant number, since it is smaller than the sum of its proper divisors (85683613248).

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

26893218240 is an equidigital number, since it uses as much as digits as its factorization.

26893218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26893218240 in words is "twenty-six billion, eight hundred ninety-three million, two hundred eighteen thousand, two hundred forty".