20725618005984 has 384 divisors, whose sum is σ = 59419866304512. Its totient is φ = 6300367257600.

The previous prime is 20725618005979. The next prime is 20725618006057. The reversal of 20725618005984 is 48950081652702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3625258294 + ... + 3625264010.

It is an arithmetic number, because the mean of its divisors is an integer number (154739235168).

Almost surely, 2^{20725618005984} is an apocalyptic number.

20725618005984 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 20725618005984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29709933152256).

20725618005984 is an abundant number, since it is smaller than the sum of its proper divisors (38694248298528).

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

20725618005984 is a wasteful number, since it uses less digits than its factorization.

20725618005984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6258 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 20725618005984 in words is "twenty trillion, seven hundred twenty-five billion, six hundred eighteen million, five thousand, nine hundred eighty-four".