26223800105088 has 384 divisors, whose sum is σ = 80310884832000. Its totient is φ = 8423640852480.

The previous prime is 26223800105081. The next prime is 26223800105117. The reversal of 26223800105088 is 88050100832262.

26223800105088 is a `hidden beast` number, since 2 + 62 + 2 + 3 + 80 + 0 + 1 + 0 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×26223800105088² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26223800105081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793754106 + ... + 793787142.

It is an arithmetic number, because the mean of its divisors is an integer number (209142929250).

Almost surely, 2^{26223800105088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26223800105088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40155442416000).

26223800105088 is an abundant number, since it is smaller than the sum of its proper divisors (54087084726912).

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

26223800105088 is a wasteful number, since it uses less digits than its factorization.

26223800105088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33361 (or 33312 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 26223800105088 in words is "twenty-six trillion, two hundred twenty-three billion, eight hundred million, one hundred five thousand, eighty-eight".