21126234255360 has 832 divisors, whose sum is σ = 78386816309760. Its totient is φ = 4811265146880.

The previous prime is 21126234255359. The next prime is 21126234255433. The reversal of 21126234255360 is 6355243262112.

It is a tau number, because it is divible by the number of its divisors (832).

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 63 ways as a sum of consecutive naturals, for example, 801102975 + ... + 801129345.

Almost surely, 2^{21126234255360} is an apocalyptic number.

21126234255360 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 21126234255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39193408154880).

21126234255360 is an abundant number, since it is smaller than the sum of its proper divisors (57260582054400).

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

21126234255360 is a wasteful number, since it uses less digits than its factorization.

21126234255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26492 (or 26470 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 21126234255360 in words is "twenty-one trillion, one hundred twenty-six billion, two hundred thirty-four million, two hundred fifty-five thousand, three hundred sixty".