16563129264 has 160 divisors (see below), whose sum is σ = 52448428800. Its totient is φ = 4962608640.

The previous prime is 16563129241. The next prime is 16563129277. The reversal of 16563129264 is 46292136561.

16563129264 is a `hidden beast` number, since 1 + 6 + 5 + 631 + 2 + 9 + 2 + 6 + 4 = 666.

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, 403347 + ... + 442509.

It is an arithmetic number, because the mean of its divisors is an integer number (327802680).

Almost surely, 2^16563129264 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 16563129264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26224214400).

16563129264 is an abundant number, since it is smaller than the sum of its proper divisors (35885299536).

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

16563129264 is a wasteful number, since it uses less digits than its factorization.

16563129264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39280 (or 39268 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 16563129264 in words is "sixteen billion, five hundred sixty-three million, one hundred twenty-nine thousand, two hundred sixty-four".