20611256688000 has 1536 divisors, whose sum is σ = 88260854722560. Its totient is φ = 4550860800000.

The previous prime is 20611256687981. The next prime is 20611256688007. The reversal of 20611256688000 is 88665211602.

20611256688000 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 1 + 2 + 566 + 8 + 80 + 0 + 0 = 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 (20611256688007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 834755655 + ... + 834780345.

It is an arithmetic number, because the mean of its divisors is an integer number (57461493960).

Almost surely, 2^{20611256688000} is an apocalyptic number.

20611256688000 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 20611256688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44130427361280).

20611256688000 is an abundant number, since it is smaller than the sum of its proper divisors (67649598034560).

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

20611256688000 is a wasteful number, since it uses less digits than its factorization.

20611256688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24785 (or 24760 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 20611256688000 in words is "twenty trillion, six hundred eleven billion, two hundred fifty-six million, six hundred eighty-eight thousand".