21126343104 has 112 divisors (see below), whose sum is σ = 62158778400. Its totient is φ = 7036305408.

The previous prime is 21126343097. The next prime is 21126343127. The reversal of 21126343104 is 40134362112.

It is a happy number.

21126343104 is a `hidden beast` number, since 2 + 1 + 12 + 634 + 3 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 2430414 + ... + 2439090.

Almost surely, 2^21126343104 is an apocalyptic number.

21126343104 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 21126343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31079389200).

21126343104 is an abundant number, since it is smaller than the sum of its proper divisors (41032435296).

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

21126343104 is a wasteful number, since it uses less digits than its factorization.

21126343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10107 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 21126343104 in words is "twenty-one billion, one hundred twenty-six million, three hundred forty-three thousand, one hundred four".