21305472000 has 352 divisors, whose sum is σ = 71642772864. Its totient is φ = 5619712000.

The previous prime is 21305471981. The next prime is 21305472017. The reversal of 21305472000 is 27450312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43391755 + ... + 43392245.

Almost surely, 2^21305472000 is an apocalyptic number.

21305472000 is a gapful number since it is divisible by the number (20) 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 21305472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35821386432).

21305472000 is an abundant number, since it is smaller than the sum of its proper divisors (50337300864).

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

21305472000 is a wasteful number, since it uses less digits than its factorization.

21305472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The spelling of 21305472000 in words is "twenty-one billion, three hundred five million, four hundred seventy-two thousand".