21024642012 has 72 divisors (see below), whose sum is σ = 54060012048. Its totient is φ = 6354881280.

The previous prime is 21024641993. The next prime is 21024642019.

It is a happy number.

21024642012 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21024642019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558208 + ... + 594680.

Almost surely, 2^21024642012 is an apocalyptic number.

21024642012 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 21024642012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27030006024).

21024642012 is an abundant number, since it is smaller than the sum of its proper divisors (33035370036).

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

21024642012 is a wasteful number, since it uses less digits than its factorization.

21024642012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36899 (or 36886 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 21024642012 in words is "twenty-one billion, twenty-four million, six hundred forty-two thousand, twelve".