20742535584 has 144 divisors (see below), whose sum is σ = 62708929920. Its totient is φ = 6481152000.

The previous prime is 20742535571. The next prime is 20742535591. The reversal of 20742535584 is 48553524702.

20742535584 is a `hidden beast` number, since 2 + 0 + 7 + 42 + 53 + 558 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1220457 + ... + 1237335.

It is an arithmetic number, because the mean of its divisors is an integer number (435478680).

Almost surely, 2^20742535584 is an apocalyptic number.

20742535584 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 20742535584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31354464960).

20742535584 is an abundant number, since it is smaller than the sum of its proper divisors (41966394336).

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

20742535584 is a wasteful number, since it uses less digits than its factorization.

20742535584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17163 (or 17152 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 20742535584 in words is "twenty billion, seven hundred forty-two million, five hundred thirty-five thousand, five hundred eighty-four".