20725212600 has 288 divisors, whose sum is σ = 72937519200. Its totient is φ = 5263948800.

The previous prime is 20725212589. The next prime is 20725212647. The reversal of 20725212600 is 621252702.

20725212600 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 52 + 1 + 2 + 600 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 11135670 + ... + 11137530.

It is an arithmetic number, because the mean of its divisors is an integer number (253255275).

Almost surely, 2^20725212600 is an apocalyptic number.

20725212600 is a gapful number since it is divisible by the number (20) 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 20725212600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36468759600).

20725212600 is an abundant number, since it is smaller than the sum of its proper divisors (52212306600).

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

20725212600 is a wasteful number, since it uses less digits than its factorization.

20725212600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 20725212600 in words is "twenty billion, seven hundred twenty-five million, two hundred twelve thousand, six hundred".