26658938880 has 336 divisors, whose sum is σ = 105623953344. Its totient is φ = 6092881920.

The previous prime is 26658938863. The next prime is 26658938899. The reversal of 26658938880 is 8883985662.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2575315 + ... + 2585645.

It is an arithmetic number, because the mean of its divisors is an integer number (314357004).

Almost surely, 2^26658938880 is an apocalyptic number.

26658938880 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 26658938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52811976672).

26658938880 is an abundant number, since it is smaller than the sum of its proper divisors (78965014464).

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

26658938880 is a wasteful number, since it uses less digits than its factorization.

26658938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10375 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 26658938880 in words is "twenty-six billion, six hundred fifty-eight million, nine hundred thirty-eight thousand, eight hundred eighty".