20185676560 has 160 divisors (see below), whose sum is σ = 54933626880. Its totient is φ = 6754254336.

The previous prime is 20185676531. The next prime is 20185676569. The reversal of 20185676560 is 6567658102.

It is a self number, because there is not a number n which added to its sum of digits gives 20185676560.

It is not an unprimeable number, because it can be changed into a prime (20185676569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11553607 + ... + 11555353.

It is an arithmetic number, because the mean of its divisors is an integer number (343335168).

Almost surely, 2^20185676560 is an apocalyptic number.

20185676560 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 20185676560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27466813440).

20185676560 is an abundant number, since it is smaller than the sum of its proper divisors (34747950320).

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

20185676560 is a wasteful number, since it uses less digits than its factorization.

20185676560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 20185676560 in words is "twenty billion, one hundred eighty-five million, six hundred seventy-six thousand, five hundred sixty".