20107725120 has 1344 divisors, whose sum is σ = 90586169856. Its totient is φ = 4140564480.

The previous prime is 20107725049. The next prime is 20107725163. The reversal of 20107725120 is 2152770102.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 379391014 + ... + 379391066.

It is an arithmetic number, because the mean of its divisors is an integer number (67400424).

Almost surely, 2^20107725120 is an apocalyptic number.

20107725120 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 20107725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45293084928).

20107725120 is an abundant number, since it is smaller than the sum of its proper divisors (70478444736).

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

20107725120 is a wasteful number, since it uses less digits than its factorization.

20107725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 20107725120 in words is "twenty billion, one hundred seven million, seven hundred twenty-five thousand, one hundred twenty".