26838346920 has 192 divisors, whose sum is σ = 101143244160. Its totient is φ = 5576778240.

The previous prime is 26838346919. The next prime is 26838346957. The reversal of 26838346920 is 2964383862.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30387 + ... + 233666.

It is an arithmetic number, because the mean of its divisors is an integer number (526787730).

Almost surely, 2^26838346920 is an apocalyptic number.

26838346920 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 26838346920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50571622080).

26838346920 is an abundant number, since it is smaller than the sum of its proper divisors (74304897240).

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

26838346920 is a wasteful number, since it uses less digits than its factorization.

26838346920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264096 (or 264081 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 26838346920 in words is "twenty-six billion, eight hundred thirty-eight million, three hundred forty-six thousand, nine hundred twenty".