21084033024 has 364 divisors, whose sum is σ = 66178824096. Its totient is φ = 6700548096.

The previous prime is 21084032989. The next prime is 21084033037. The reversal of 21084033024 is 42033048012.

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 polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 68677479 + ... + 68677785.

Almost surely, 2^21084033024 is an apocalyptic number.

21084033024 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 21084033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33089412048).

21084033024 is an abundant number, since it is smaller than the sum of its proper divisors (45094791072).

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

21084033024 is an frugal number, since it uses more digits than its factorization.

21084033024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 21084033024 in words is "twenty-one billion, eighty-four million, thirty-three thousand, twenty-four".