20295563904 has 512 divisors, whose sum is σ = 76142592000. Its totient is φ = 5168517120.

The previous prime is 20295563881. The next prime is 20295563921. The reversal of 20295563904 is 40936559202.

20295563904 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 5 + 5 + 639 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20295563904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14103217 + ... + 14104655.

It is an arithmetic number, because the mean of its divisors is an integer number (148716000).

Almost surely, 2^20295563904 is an apocalyptic number.

20295563904 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 20295563904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38071296000).

20295563904 is an abundant number, since it is smaller than the sum of its proper divisors (55847028096).

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

20295563904 is a wasteful number, since it uses less digits than its factorization.

20295563904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 20295563904 in words is "twenty billion, two hundred ninety-five million, five hundred sixty-three thousand, nine hundred four".