20845760544 has 288 divisors, whose sum is σ = 70079458176. Its totient is φ = 5753917440.

The previous prime is 20845760543. The next prime is 20845760557. The reversal of 20845760544 is 44506754802.

20845760544 is a `hidden beast` number, since 2 + 0 + 8 + 45 + 7 + 60 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 20845760544.

It is not an unprimeable number, because it can be changed into a prime (20845760543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8843014 + ... + 8845370.

It is an arithmetic number, because the mean of its divisors is an integer number (243331452).

Almost surely, 2^20845760544 is an apocalyptic number.

20845760544 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 20845760544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35039729088).

20845760544 is an abundant number, since it is smaller than the sum of its proper divisors (49233697632).

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

20845760544 is a wasteful number, since it uses less digits than its factorization.

20845760544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 20845760544 in words is "twenty billion, eight hundred forty-five million, seven hundred sixty thousand, five hundred forty-four".