21381424160 has 192 divisors, whose sum is σ = 53258010624. Its totient is φ = 8101862400.

The previous prime is 21381424091. The next prime is 21381424187. The reversal of 21381424160 is 6142418312.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68750405 + ... + 68750715.

It is an arithmetic number, because the mean of its divisors is an integer number (277385472).

Almost surely, 2^21381424160 is an apocalyptic number.

21381424160 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 21381424160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26629005312).

21381424160 is an abundant number, since it is smaller than the sum of its proper divisors (31876586464).

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

21381424160 is a wasteful number, since it uses less digits than its factorization.

21381424160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 21381424160 in words is "twenty-one billion, three hundred eighty-one million, four hundred twenty-four thousand, one hundred sixty".