20810541960 has 192 divisors, whose sum is σ = 74806084080. Its totient is φ = 4984104960.

The previous prime is 20810541949. The next prime is 20810541989. The reversal of 20810541960 is 6914501802.

20810541960 is a `hidden beast` number, since 20 + 8 + 1 + 0 + 541 + 96 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15498756036 + 5311785924 = 124494^2 + 72882^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 113070 + ... + 233250.

Almost surely, 2^20810541960 is an apocalyptic number.

20810541960 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 20810541960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37403042040).

20810541960 is an abundant number, since it is smaller than the sum of its proper divisors (53995542120).

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

20810541960 is a wasteful number, since it uses less digits than its factorization.

20810541960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120248 (or 120241 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 20810541960 in words is "twenty billion, eight hundred ten million, five hundred forty-one thousand, nine hundred sixty".