20004385968 has 240 divisors, whose sum is σ = 66516742656. Its totient is φ = 5701363200.

The previous prime is 20004385949. The next prime is 20004385981. The reversal of 20004385968 is 86958340002.

20004385968 is a `hidden beast` number, since 20 + 0 + 0 + 4 + 38 + 596 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16356205 + ... + 16357427.

Almost surely, 2^20004385968 is an apocalyptic number.

20004385968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20004385968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33258371328).

20004385968 is an abundant number, since it is smaller than the sum of its proper divisors (46512356688).

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

20004385968 is a wasteful number, since it uses less digits than its factorization.

20004385968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20004385968 in words is "twenty billion, four million, three hundred eighty-five thousand, nine hundred sixty-eight".