20111281880544 has 240 divisors, whose sum is σ = 60701086076400. Its totient is φ = 6529672175616.

The previous prime is 20111281880539. The next prime is 20111281880611. The reversal of 20111281880544 is 44508818211102.

20111281880544 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 1 + 28 + 1 + 8 + 80 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20111281880544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16065904 + ... + 17272400.

It is an arithmetic number, because the mean of its divisors is an integer number (252921191985).

Almost surely, 2^{20111281880544} is an apocalyptic number.

20111281880544 is a gapful number since it is divisible by the number (24) 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 20111281880544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30350543038200).

20111281880544 is an abundant number, since it is smaller than the sum of its proper divisors (40589804195856).

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

20111281880544 is a wasteful number, since it uses less digits than its factorization.

20111281880544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206687 (or 1206670 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 20111281880544 in words is "twenty trillion, one hundred eleven billion, two hundred eighty-one million, eight hundred eighty thousand, five hundred forty-four".