20741132885760 has 2160 divisors, whose sum is σ = 88601909701536. Its totient is φ = 4636707618816.

The previous prime is 20741132885747. The next prime is 20741132885801. The reversal of 20741132885760 is 6758823114702.

20741132885760 is a `hidden beast` number, since 2 + 0 + 7 + 41 + 1 + 3 + 28 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20741132885697 and 20741132885706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 65429441122 + ... + 65429441438.

Almost surely, 2^{20741132885760} is an apocalyptic number.

20741132885760 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 20741132885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44300954850768).

20741132885760 is an abundant number, since it is smaller than the sum of its proper divisors (67860776815776).

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

20741132885760 is an frugal number, since it uses more digits than its factorization.

20741132885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 20741132885760 in words is "twenty trillion, seven hundred forty-one billion, one hundred thirty-two million, eight hundred eighty-five thousand, seven hundred sixty".