20576540160 has 960 divisors, whose sum is σ = 84078618624. Its totient is φ = 4777574400.

The previous prime is 20576540141. The next prime is 20576540161. The reversal of 20576540160 is 6104567502.

It is a happy number.

20576540160 is a `hidden beast` number, since 2 + 0 + 57 + 6 + 540 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20576540161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212129232 + ... + 212129328.

Almost surely, 2^20576540160 is an apocalyptic number.

20576540160 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 20576540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42039309312).

20576540160 is an abundant number, since it is smaller than the sum of its proper divisors (63502078464).

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

20576540160 is an equidigital number, since it uses as much as digits as its factorization.

20576540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 20576540160 in words is "twenty billion, five hundred seventy-six million, five hundred forty thousand, one hundred sixty".