20725489747872 has 1728 divisors, whose sum is σ = 80507963128320. Its totient is φ = 4995885662208.

The previous prime is 20725489747849. The next prime is 20725489747961. The reversal of 20725489747872 is 27874798452702.

20725489747872 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 5 + 4 + 89 + 7 + 478 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 20725489747872.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11959312318 + ... + 11959314050.

It is an arithmetic number, because the mean of its divisors is an integer number (46590256440).

Almost surely, 2^{20725489747872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20725489747872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40253981564160).

20725489747872 is an abundant number, since it is smaller than the sum of its proper divisors (59782473380448).

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

20725489747872 is a wasteful number, since it uses less digits than its factorization.

20725489747872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 885104640, while the sum is 72.

The spelling of 20725489747872 in words is "twenty trillion, seven hundred twenty-five billion, four hundred eighty-nine million, seven hundred forty-seven thousand, eight hundred seventy-two".