20172583872 has 448 divisors, whose sum is σ = 73034956800. Its totient is φ = 5332884480.

The previous prime is 20172583867. The next prime is 20172583897. The reversal of 20172583872 is 27838527102.

20172583872 is a `hidden beast` number, since 2 + 0 + 17 + 258 + 387 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8623279 + ... + 8625617.

Almost surely, 2^20172583872 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 20172583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36517478400).

20172583872 is an abundant number, since it is smaller than the sum of its proper divisors (52862372928).

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

20172583872 is a wasteful number, since it uses less digits than its factorization.

20172583872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 20172583872 in words is "twenty billion, one hundred seventy-two million, five hundred eighty-three thousand, eight hundred seventy-two".