20140306560 has 768 divisors, whose sum is σ = 80383605120. Its totient is φ = 4777574400.

The previous prime is 20140306559. The next prime is 20140306633. The reversal of 20140306560 is 6560304102.

20140306560 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 0 + 3 + 0 + 656 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104353824 + ... + 104354016.

Almost surely, 2^20140306560 is an apocalyptic number.

20140306560 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 20140306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40191802560).

20140306560 is an abundant number, since it is smaller than the sum of its proper divisors (60243298560).

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

20140306560 is a wasteful number, since it uses less digits than its factorization.

20140306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 20140306560 in words is "twenty billion, one hundred forty million, three hundred six thousand, five hundred sixty".