20742609888 has 864 divisors, whose sum is σ = 82763606016. Its totient is φ = 4790016000.

The previous prime is 20742609863. The next prime is 20742609907. The reversal of 20742609888 is 88890624702.

20742609888 is a `hidden beast` number, since 20 + 7 + 4 + 2 + 609 + 8 + 8 + 8 = 666.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 98306103 + ... + 98306313.

Almost surely, 2^20742609888 is an apocalyptic number.

20742609888 is a gapful number since it is divisible by the number (28) 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 20742609888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41381803008).

20742609888 is an abundant number, since it is smaller than the sum of its proper divisors (62020996128).

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

20742609888 is a wasteful number, since it uses less digits than its factorization.

20742609888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 20742609888 in words is "twenty billion, seven hundred forty-two million, six hundred nine thousand, eight hundred eighty-eight".