20130563712 has 128 divisors (see below), whose sum is σ = 61716528000. Its totient is φ = 5694566400.

The previous prime is 20130563671. The next prime is 20130563743. The reversal of 20130563712 is 21736503102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×20130563712³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20130563712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234414 + ... + 308562.

It is an arithmetic number, because the mean of its divisors is an integer number (482160375).

Almost surely, 2^20130563712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130563712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30858264000).

20130563712 is an abundant number, since it is smaller than the sum of its proper divisors (41585964288).

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

20130563712 is a wasteful number, since it uses less digits than its factorization.

20130563712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74274 (or 74262 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 20130563712 in words is "twenty billion, one hundred thirty million, five hundred sixty-three thousand, seven hundred twelve".