21054045012 has 648 divisors, whose sum is σ = 72717922368. Its totient is φ = 4704860160.

The previous prime is 21054044923. The next prime is 21054045041.

21054045012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21054045012² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 204408153 + ... + 204408255.

It is an arithmetic number, because the mean of its divisors is an integer number (112219016).

Almost surely, 2^21054045012 is an apocalyptic number.

21054045012 is a gapful number since it is divisible by the number (22) 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 21054045012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36358961184).

21054045012 is an abundant number, since it is smaller than the sum of its proper divisors (51663877356).

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

21054045012 is a wasteful number, since it uses less digits than its factorization.

21054045012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

It can be divided in two parts, 210540 and 45012, that added together give a palindrome (255552).

The spelling of 21054045012 in words is "twenty-one billion, fifty-four million, forty-five thousand, twelve".