26834042880 has 408 divisors, whose sum is σ = 96755563632. Its totient is φ = 7134511104.

The previous prime is 26834042827. The next prime is 26834042881. The reversal of 26834042880 is 8824043862.

26834042880 is a `hidden beast` number, since 26 + 8 + 340 + 4 + 288 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26834042881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79626072 + ... + 79626408.

Almost surely, 2^26834042880 is an apocalyptic number.

26834042880 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 26834042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48377781816).

26834042880 is an abundant number, since it is smaller than the sum of its proper divisors (69921520752).

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

26834042880 is an frugal number, since it uses more digits than its factorization.

26834042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 26834042880 in words is "twenty-six billion, eight hundred thirty-four million, forty-two thousand, eight hundred eighty".