20857124160 has 280 divisors, whose sum is σ = 74859541416. Its totient is φ = 5511905280.

The previous prime is 20857124137. The next prime is 20857124297. The reversal of 20857124160 is 6142175802.

20857124160 is a `hidden beast` number, since 2 + 0 + 8 + 571 + 24 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2083739904 + 18773384256 = 45648^2 + 137016^2 .

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 39 ways as a sum of consecutive naturals, for example, 2925400 + ... + 2932520.

Almost surely, 2^20857124160 is an apocalyptic number.

20857124160 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 20857124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37429770708).

20857124160 is an abundant number, since it is smaller than the sum of its proper divisors (54002417256).

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

20857124160 is a wasteful number, since it uses less digits than its factorization.

20857124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7263 (or 7244 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 20857124160 its reverse (6142175802), we get a palindrome (26999299962).

The spelling of 20857124160 in words is "twenty billion, eight hundred fifty-seven million, one hundred twenty-four thousand, one hundred sixty".