20936540160 has 360 divisors, whose sum is σ = 73761138360. Its totient is φ = 5492441088.

The previous prime is 20936540143. The next prime is 20936540189. The reversal of 20936540160 is 6104563902.

It is a happy number.

20936540160 is a `hidden beast` number, since 20 + 9 + 36 + 540 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 967458816 + 19969081344 = 31104^2 + 141312^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53821246 + ... + 53821634.

It is an arithmetic number, because the mean of its divisors is an integer number (204892051).

Almost surely, 2^20936540160 is an apocalyptic number.

20936540160 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 20936540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36880569180).

20936540160 is an abundant number, since it is smaller than the sum of its proper divisors (52824598200).

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

20936540160 is an equidigital number, since it uses as much as digits as its factorization.

20936540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 20936540160 in words is "twenty billion, nine hundred thirty-six million, five hundred forty thousand, one hundred sixty".