26935939680 has 384 divisors, whose sum is σ = 99883155456. Its totient is φ = 6038323200.

The previous prime is 26935939673. The next prime is 26935939691. The reversal of 26935939680 is 8693953962.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3284385 + ... + 3292575.

It is an arithmetic number, because the mean of its divisors is an integer number (260112384).

Almost surely, 2^26935939680 is an apocalyptic number.

26935939680 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 26935939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49941577728).

26935939680 is an abundant number, since it is smaller than the sum of its proper divisors (72947215776).

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

26935939680 is a wasteful number, since it uses less digits than its factorization.

26935939680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 60.

The spelling of 26935939680 in words is "twenty-six billion, nine hundred thirty-five million, nine hundred thirty-nine thousand, six hundred eighty".