20120795520 has 384 divisors, whose sum is σ = 77023872000. Its totient is φ = 4450037760.

The previous prime is 20120795507. The next prime is 20120795521. The reversal of 20120795520 is 2559702102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120795521) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2913031 + ... + 2919929.

It is an arithmetic number, because the mean of its divisors is an integer number (200583000).

Almost surely, 2^20120795520 is an apocalyptic number.

20120795520 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 20120795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38511936000).

20120795520 is an abundant number, since it is smaller than the sum of its proper divisors (56903076480).

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

20120795520 is a wasteful number, since it uses less digits than its factorization.

20120795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966 (or 6947 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 20120795520 in words is "twenty billion, one hundred twenty million, seven hundred ninety-five thousand, five hundred twenty".