20742860160 has 1024 divisors, whose sum is σ = 85660416000. Its totient is φ = 4696473600.

The previous prime is 20742860093. The next prime is 20742860219. The reversal of 20742860160 is 6106824702.

20742860160 is a `hidden beast` number, since 2 + 0 + 7 + 42 + 8 + 601 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 292152925 + ... + 292152995.

It is an arithmetic number, because the mean of its divisors is an integer number (83652750).

Almost surely, 2^20742860160 is an apocalyptic number.

20742860160 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 20742860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42830208000).

20742860160 is an abundant number, since it is smaller than the sum of its proper divisors (64917555840).

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

20742860160 is a wasteful number, since it uses less digits than its factorization.

20742860160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20742860160 in words is "twenty billion, seven hundred forty-two million, eight hundred sixty thousand, one hundred sixty".