21110255250400 has 288 divisors, whose sum is σ = 56576623739328. Its totient is φ = 7666985779200.

The previous prime is 21110255250397. The next prime is 21110255250401. The reversal of 21110255250400 is 405255201112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110255250401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27534654 + ... + 28290946.

It is an arithmetic number, because the mean of its divisors is an integer number (196446610206).

Almost surely, 2^{21110255250400} is an apocalyptic number.

21110255250400 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 21110255250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28288311869664).

21110255250400 is an abundant number, since it is smaller than the sum of its proper divisors (35466368488928).

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

21110255250400 is a wasteful number, since it uses less digits than its factorization.

21110255250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756414 (or 756401 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The spelling of 21110255250400 in words is "twenty-one trillion, one hundred ten billion, two hundred fifty-five million, two hundred fifty thousand, four hundred".