20305507968 has 192 divisors, whose sum is σ = 59789340000. Its totient is φ = 6612645888.

The previous prime is 20305507921. The next prime is 20305508009. The reversal of 20305507968 is 86970550302.

It is a happy number.

20305507968 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 550 + 7 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×20305507968² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12165438 + ... + 12167106.

Almost surely, 2^20305507968 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 20305507968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29894670000).

20305507968 is an abundant number, since it is smaller than the sum of its proper divisors (39483832032).

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

20305507968 is a wasteful number, since it uses less digits than its factorization.

20305507968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 20305507968 in words is "twenty billion, three hundred five million, five hundred seven thousand, nine hundred sixty-eight".