20575792512 has 576 divisors, whose sum is σ = 72694767600. Its totient is φ = 5547294720.

The previous prime is 20575792469. The next prime is 20575792513. The reversal of 20575792512 is 21529757502.

20575792512 is a `hidden beast` number, since 2 + 0 + 57 + 579 + 25 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20575792513) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45023388 + ... + 45023844.

Almost surely, 2^20575792512 is an apocalyptic number.

20575792512 is a gapful number since it is divisible by the number (22) 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 20575792512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36347383800).

20575792512 is an abundant number, since it is smaller than the sum of its proper divisors (52118975088).

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

20575792512 is a wasteful number, since it uses less digits than its factorization.

20575792512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 20575792512 in words is "twenty billion, five hundred seventy-five million, seven hundred ninety-two thousand, five hundred twelve".