26421368133888 has 1728 divisors, whose sum is σ = 101943667617792. Its totient is φ = 6633542615040.

The previous prime is 26421368133887. The next prime is 26421368133931. The reversal of 26421368133888 is 88833186312462.

26421368133888 is a `hidden beast` number, since 2 + 6 + 4 + 213 + 6 + 8 + 1 + 338 + 88 = 666.

26421368133888 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×26421368133888³ (a number of 41 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26421368133887) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39971812278 + ... + 39971812938.

Almost surely, 2^{26421368133888} is an apocalyptic number.

26421368133888 is a gapful number since it is divisible by the number (28) 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 26421368133888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50971833808896).

26421368133888 is an abundant number, since it is smaller than the sum of its proper divisors (75522299483904).

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

26421368133888 is a wasteful number, since it uses less digits than its factorization.

26421368133888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1016 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 26421368133888 in words is "twenty-six trillion, four hundred twenty-one billion, three hundred sixty-eight million, one hundred thirty-three thousand, eight hundred eighty-eight".