21419536320 has 784 divisors, whose sum is σ = 94213801920. Its totient is φ = 4514807808.

The previous prime is 21419536261. The next prime is 21419536321. The reversal of 21419536320 is 2363591412.

21419536320 is a `hidden beast` number, since 2 + 1 + 4 + 19 + 5 + 3 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21419536321) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21227976 + ... + 21228984.

Almost surely, 2^21419536320 is an apocalyptic number.

21419536320 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 21419536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47106900960).

21419536320 is an abundant number, since it is smaller than the sum of its proper divisors (72794265600).

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

21419536320 is a wasteful number, since it uses less digits than its factorization.

21419536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 21419536320 in words is "twenty-one billion, four hundred nineteen million, five hundred thirty-six thousand, three hundred twenty".