26277027840 has 672 divisors, whose sum is σ = 110408313600. Its totient is φ = 5643436032.

The previous prime is 26277027811. The next prime is 26277027841. The reversal of 26277027840 is 4872077262.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (26277027841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43867861 + ... + 43868459.

Almost surely, 2^26277027840 is an apocalyptic number.

26277027840 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 26277027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55204156800).

26277027840 is an abundant number, since it is smaller than the sum of its proper divisors (84131285760).

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

26277027840 is a wasteful number, since it uses less digits than its factorization.

26277027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 26277027840 in words is "twenty-six billion, two hundred seventy-seven million, twenty-seven thousand, eight hundred forty".