20632515004800 has 192 divisors, whose sum is σ = 75509273979600. Its totient is φ = 5502003978240.

The previous prime is 20632515004781. The next prime is 20632515004861. The reversal of 20632515004800 is 840051523602.

20632515004800 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 25 + 150 + 0 + 480 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119314729 + ... + 119487528.

Almost surely, 2^{20632515004800} is an apocalyptic number.

20632515004800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20632515004800 is an abundant number, since it is smaller than the sum of its proper divisors (54876758974800).

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

20632515004800 is a wasteful number, since it uses less digits than its factorization.

20632515004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238802290 (or 238802267 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 20632515004800 in words is "twenty trillion, six hundred thirty-two billion, five hundred fifteen million, four thousand, eight hundred".