26800419160 has 64 divisors (see below), whose sum is σ = 61821144000. Its totient is φ = 10450329600.

The previous prime is 26800419137. The next prime is 26800419167. The reversal of 26800419160 is 6191400862.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26800419167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2288520 + ... + 2300200.

It is an arithmetic number, because the mean of its divisors is an integer number (965955375).

Almost surely, 2^26800419160 is an apocalyptic number.

26800419160 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 26800419160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30910572000).

26800419160 is an abundant number, since it is smaller than the sum of its proper divisors (35020724840).

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

26800419160 is a wasteful number, since it uses less digits than its factorization.

26800419160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13132 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 26800419160 in words is "twenty-six billion, eight hundred million, four hundred nineteen thousand, one hundred sixty".