20395665408 has 96 divisors (see below), whose sum is σ = 57573996480. Its totient is φ = 6398607360.

The previous prime is 20395665401. The next prime is 20395665413. The reversal of 20395665408 is 80456659302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (20395665401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6813 + ... + 202083.

It is an arithmetic number, because the mean of its divisors is an integer number (599729130).

Almost surely, 2^20395665408 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 20395665408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28786998240).

20395665408 is an abundant number, since it is smaller than the sum of its proper divisors (37178331072).

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

20395665408 is a wasteful number, since it uses less digits than its factorization.

20395665408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195313 (or 195293 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 20395665408 in words is "twenty billion, three hundred ninety-five million, six hundred sixty-five thousand, four hundred eight".