20925157120 has 288 divisors, whose sum is σ = 60821591040. Its totient is φ = 6742179840.

The previous prime is 20925157091. The next prime is 20925157151. The reversal of 20925157120 is 2175152902.

It is a super-3 number, since 3×20925157120³ (a number of 32 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 12157860 + ... + 12159580.

It is an arithmetic number, because the mean of its divisors is an integer number (211186080).

Almost surely, 2^20925157120 is an apocalyptic number.

20925157120 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 20925157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30410795520).

20925157120 is an abundant number, since it is smaller than the sum of its proper divisors (39896433920).

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

20925157120 is a wasteful number, since it uses less digits than its factorization.

20925157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The spelling of 20925157120 in words is "twenty billion, nine hundred twenty-five million, one hundred fifty-seven thousand, one hundred twenty".