20120795764608 has 768 divisors, whose sum is σ = 69223229130240. Its totient is φ = 5118686576640.

The previous prime is 20120795764583. The next prime is 20120795764609. The reversal of 20120795764608 is 80646759702102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120795764609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8304082885 + ... + 8304085307.

It is an arithmetic number, because the mean of its divisors is an integer number (90134412930).

Almost surely, 2^{20120795764608} is an apocalyptic number.

20120795764608 is a gapful number since it is divisible by the number (28) 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 20120795764608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34611614565120).

20120795764608 is an abundant number, since it is smaller than the sum of its proper divisors (49102433365632).

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

20120795764608 is a wasteful number, since it uses less digits than its factorization.

20120795764608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 20120795764608 in words is "twenty trillion, one hundred twenty billion, seven hundred ninety-five million, seven hundred sixty-four thousand, six hundred eight".