21429086112 has 288 divisors, whose sum is σ = 72934646400. Its totient is φ = 6103351296.

The previous prime is 21429086089. The next prime is 21429086123. The reversal of 21429086112 is 21168092412.

21429086112 is a `hidden beast` number, since 2 + 14 + 29 + 0 + 8 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21429086112² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18584928 + ... + 18586080.

It is an arithmetic number, because the mean of its divisors is an integer number (253245300).

Almost surely, 2^21429086112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21429086112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36467323200).

21429086112 is an abundant number, since it is smaller than the sum of its proper divisors (51505560288).

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

21429086112 is a wasteful number, since it uses less digits than its factorization.

21429086112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 21429086112 in words is "twenty-one billion, four hundred twenty-nine million, eighty-six thousand, one hundred twelve".