20408185953 has 40 divisors (see below), whose sum is σ = 31255458696. Its totient is φ = 13262745600.

The previous prime is 20408185951. The next prime is 20408185961. The reversal of 20408185953 is 35958180402.

20408185953 is a `hidden beast` number, since 2 + 0 + 40 + 8 + 18 + 595 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 968018769 + 19440167184 = 31113^2 + 139428^2 .

It is not a de Polignac number, because 20408185953 - 2¹ = 20408185951 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20408185899 and 20408185908.

It is not an unprimeable number, because it can be changed into a prime (20408185951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6909525 + ... + 6912477.

Almost surely, 2^20408185953 is an apocalyptic number.

It is an amenable number.

20408185953 is a deficient number, since it is larger than the sum of its proper divisors (10847272743).

20408185953 is a wasteful number, since it uses less digits than its factorization.

20408185953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 20408185953 in words is "twenty billion, four hundred eight million, one hundred eighty-five thousand, nine hundred fifty-three".