21314108578560 has 288 divisors, whose sum is σ = 78364367488512. Its totient is φ = 4836234854400.

The previous prime is 21314108578559. The next prime is 21314108578583. The reversal of 21314108578560 is 6587580141312.

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, 788635 + ... + 6576485.

It is an arithmetic number, because the mean of its divisors is an integer number (272098498224).

Almost surely, 2^{21314108578560} is an apocalyptic number.

21314108578560 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 21314108578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39182183744256).

21314108578560 is an abundant number, since it is smaller than the sum of its proper divisors (57050258909952).

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

21314108578560 is a wasteful number, since it uses less digits than its factorization.

21314108578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5788019 (or 5788005 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 21314108578560 in words is "twenty-one trillion, three hundred fourteen billion, one hundred eight million, five hundred seventy-eight thousand, five hundred sixty".