20400608160 has 144 divisors (see below), whose sum is σ = 72195623136. Its totient is φ = 5440151808.

The previous prime is 20400608153. The next prime is 20400608167. The reversal of 20400608160 is 6180600402.

20400608160 is a `hidden beast` number, since 2 + 0 + 40 + 0 + 608 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20400608153) and next prime (20400608167).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20400608167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223474 + ... + 301233.

It is an arithmetic number, because the mean of its divisors is an integer number (501358494).

Almost surely, 2^20400608160 is an apocalyptic number.

20400608160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20400608160 is an abundant number, since it is smaller than the sum of its proper divisors (51795014976).

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

20400608160 is an equidigital number, since it uses as much as digits as its factorization.

20400608160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524737 (or 524717 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 20400608160 in words is "twenty billion, four hundred million, six hundred eight thousand, one hundred sixty".