20653129728 has 720 divisors, whose sum is σ = 79496411904. Its totient is φ = 5001707520.

The previous prime is 20653129681. The next prime is 20653129801. The reversal of 20653129728 is 82792135602.

20653129728 is a `hidden beast` number, since 2 + 0 + 6 + 531 + 2 + 97 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193019851 + ... + 193019957.

Almost surely, 2^20653129728 is an apocalyptic number.

20653129728 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 20653129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39748205952).

20653129728 is an abundant number, since it is smaller than the sum of its proper divisors (58843282176).

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

20653129728 is a wasteful number, since it uses less digits than its factorization.

20653129728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 20653129728 in words is "twenty billion, six hundred fifty-three million, one hundred twenty-nine thousand, seven hundred twenty-eight".