21251054304 has 144 divisors (see below), whose sum is σ = 63398855520. Its totient is φ = 6742901760.

The previous prime is 21251054291. The next prime is 21251054329. The reversal of 21251054304 is 40345015212.

21251054304 is a `hidden beast` number, since 2 + 125 + 105 + 430 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575074 + ... + 610910.

It is an arithmetic number, because the mean of its divisors is an integer number (440269830).

Almost surely, 2^21251054304 is an apocalyptic number.

21251054304 is a gapful number since it is divisible by the number (24) 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 21251054304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31699427760).

21251054304 is an abundant number, since it is smaller than the sum of its proper divisors (42147801216).

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

21251054304 is a wasteful number, since it uses less digits than its factorization.

21251054304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35953 (or 35942 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 21251054304 its reverse (40345015212), we get a palindrome (61596069516).

The spelling of 21251054304 in words is "twenty-one billion, two hundred fifty-one million, fifty-four thousand, three hundred four".