16576820001 has 27 divisors (see below), whose sum is σ = 27858112113. Its totient is φ = 9470923560.

The previous prime is 16576819993. The next prime is 16576820011. The reversal of 16576820001 is 10002867561.

The square root of 16576820001 is 128751.

It is a perfect power (a square), and thus also a powerful number.

16576820001 is a `hidden beast` number, since 1 + 6 + 576 + 82 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 16576820001 - 2³ = 16576819993 is a prime.

It is a super-2 number, since 2×16576820001² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16576820011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2700706 + ... + 2706836.

Almost surely, 2^16576820001 is an apocalyptic number.

16576820001 is the 128751-st square number.

16576820001 is the 64376-th centered octagonal number.

It is an amenable number.

16576820001 is a deficient number, since it is larger than the sum of its proper divisors (11281292112).

16576820001 is an frugal number, since it uses more digits than its factorization.

16576820001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12282 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 16576820001 by its sum of digits (36), we get a square (596765520036 = 772506²).

The spelling of 16576820001 in words is "sixteen billion, five hundred seventy-six million, eight hundred twenty thousand, one".