20475825408 has 126 divisors (see below), whose sum is σ = 61280026514. Its totient is φ = 6825212928.

The previous prime is 20475825401. The next prime is 20475825431. The reversal of 20475825408 is 80452857402.

20475825408 is a `hidden beast` number, since 20 + 4 + 7 + 5 + 82 + 540 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18050459904 + 2425365504 = 134352^2 + 49248^2 .

It is a super-2 number, since 2×20475825408² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20475825401) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 131766 + ... + 241482.

Almost surely, 2^20475825408 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 20475825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30640013257).

20475825408 is an abundant number, since it is smaller than the sum of its proper divisors (40804201106).

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

20475825408 is an frugal number, since it uses more digits than its factorization.

20475825408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109751 (or 109722 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 20475825408 in words is "twenty billion, four hundred seventy-five million, eight hundred twenty-five thousand, four hundred eight".