20120966260560 has 1920 divisors, whose sum is σ = 82738590105600. Its totient is φ = 4362746572800.

The previous prime is 20120966260559. The next prime is 20120966260567. The reversal of 20120966260560 is 6506266902102.

It is a happy number.

20120966260560 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 0 + 9 + 66 + 26 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120966260567) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24271370226 + ... + 24271371054.

It is an arithmetic number, because the mean of its divisors is an integer number (43093015680).

Almost surely, 2^{20120966260560} is an apocalyptic number.

20120966260560 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 20120966260560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41369295052800).

20120966260560 is an abundant number, since it is smaller than the sum of its proper divisors (62617623845040).

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

20120966260560 is a wasteful number, since it uses less digits than its factorization.

20120966260560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 20120966260560 in words is "twenty trillion, one hundred twenty billion, nine hundred sixty-six million, two hundred sixty thousand, five hundred sixty".