21112068399072 has 384 divisors, whose sum is σ = 71748717788160. Its totient is φ = 5290221404160.

The previous prime is 21112068399049. The next prime is 21112068399083. The reversal of 21112068399072 is 27099386021112.

It is a super-2 number, since 2×21112068399072² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12443158 + ... + 14037674.

It is an arithmetic number, because the mean of its divisors is an integer number (186845619240).

Almost surely, 2^{21112068399072} 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 21112068399072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35874358894080).

21112068399072 is an abundant number, since it is smaller than the sum of its proper divisors (50636649389088).

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

21112068399072 is a wasteful number, since it uses less digits than its factorization.

21112068399072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594634 (or 1594626 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 21112068399072 in words is "twenty-one trillion, one hundred twelve billion, sixty-eight million, three hundred ninety-nine thousand, seventy-two".