20964875904 has 192 divisors, whose sum is σ = 69821856000. Its totient is φ = 5913962496.

The previous prime is 20964875857. The next prime is 20964875923. The reversal of 20964875904 is 40957846902.

20964875904 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 48 + 7 + 590 + 4 = 666.

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

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, 620602 + ... + 653510.

It is an arithmetic number, because the mean of its divisors is an integer number (363655500).

Almost surely, 2^20964875904 is an apocalyptic number.

20964875904 is a gapful number since it is divisible by the number (24) 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 20964875904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34910928000).

20964875904 is an abundant number, since it is smaller than the sum of its proper divisors (48856980096).

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

20964875904 is a wasteful number, since it uses less digits than its factorization.

20964875904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33015 (or 33000 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 20964875904 in words is "twenty billion, nine hundred sixty-four million, eight hundred seventy-five thousand, nine hundred four".