20005367040 has 360 divisors, whose sum is σ = 72097419240. Its totient is φ = 5296472064.

The previous prime is 20005367023. The next prime is 20005367071. The reversal of 20005367040 is 4076350002.

It is a happy number.

20005367040 is a `hidden beast` number, since 20 + 0 + 0 + 536 + 70 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5478368256 + 14526998784 = 74016^2 + 120528^2 .

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 20005366995 and 20005367013.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 16277146 + ... + 16278374.

It is an arithmetic number, because the mean of its divisors is an integer number (200270609).

Almost surely, 2^20005367040 is an apocalyptic number.

20005367040 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 20005367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36048709620).

20005367040 is an abundant number, since it is smaller than the sum of its proper divisors (52092052200).

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

20005367040 is a wasteful number, since it uses less digits than its factorization.

20005367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 20005367040 in words is "twenty billion, five million, three hundred sixty-seven thousand, forty".