20130720825600 has 4860 divisors, whose sum is σ = 99459102876672. Its totient is φ = 3931645132800.

The previous prime is 20130720825577. The next prime is 20130720825643. The reversal of 20130720825600 is 652802703102.

20130720825600 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 0 + 7 + 20 + 8 + 25 + 600 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 158509612737 + ... + 158509612863.

Almost surely, 2^{20130720825600} is an apocalyptic number.

20130720825600 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 20130720825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49729551438336).

20130720825600 is an abundant number, since it is smaller than the sum of its proper divisors (79328382051072).

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

20130720825600 is a wasteful number, since it uses less digits than its factorization.

20130720825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 20130720825600 in words is "twenty trillion, one hundred thirty billion, seven hundred twenty million, eight hundred twenty-five thousand, six hundred".