20061751268800 has 168 divisors, whose sum is σ = 49663751128992. Its totient is φ = 7976093184000.

The previous prime is 20061751268759. The next prime is 20061751268803. The reversal of 20061751268800 is 886215716002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20061751268803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571363245 + ... + 571398355.

It is an arithmetic number, because the mean of its divisors is an integer number (295617566244).

Almost surely, 2^{20061751268800} is an apocalyptic number.

20061751268800 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 20061751268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24831875564496).

20061751268800 is an abundant number, since it is smaller than the sum of its proper divisors (29601999860192).

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

20061751268800 is a wasteful number, since it uses less digits than its factorization.

20061751268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37287 (or 37272 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 20061751268800 in words is "twenty trillion, sixty-one billion, seven hundred fifty-one million, two hundred sixty-eight thousand, eight hundred".