26421120000 has 880 divisors, whose sum is σ = 107433110400. Its totient is φ = 6359040000.

The previous prime is 26421119969. The next prime is 26421120029. The reversal of 26421120000 is 2112462.

26421120000 is a `hidden beast` number, since 2 + 642 + 1 + 1 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 190079931 + ... + 190080069.

It is an arithmetic number, because the mean of its divisors is an integer number (122083080).

Almost surely, 2^26421120000 is an apocalyptic number.

26421120000 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 26421120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53716555200).

26421120000 is an abundant number, since it is smaller than the sum of its proper divisors (81011990400).

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

26421120000 is a wasteful number, since it uses less digits than its factorization.

26421120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 26421120000 its reverse (2112462), we get a palindrome (26423232462).

The spelling of 26421120000 in words is "twenty-six billion, four hundred twenty-one million, one hundred twenty thousand".