20518160040 has 576 divisors, whose sum is σ = 84509568000. Its totient is φ = 4287790080.

The previous prime is 20518160029. The next prime is 20518160071. The reversal of 20518160040 is 4006181502.

20518160040 is a `hidden beast` number, since 2 + 0 + 5 + 18 + 1 + 600 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20518159986 and 20518160013.

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 143 ways as a sum of consecutive naturals, for example, 9718585 + ... + 9720695.

It is an arithmetic number, because the mean of its divisors is an integer number (146718000).

Almost surely, 2^20518160040 is an apocalyptic number.

20518160040 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 20518160040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42254784000).

20518160040 is an abundant number, since it is smaller than the sum of its proper divisors (63991407960).

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

20518160040 is a wasteful number, since it uses less digits than its factorization.

20518160040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 20518160040 in words is "twenty billion, five hundred eighteen million, one hundred sixty thousand, forty".