20605478040 has 480 divisors, whose sum is σ = 80749468800. Its totient is φ = 4551966720.

The previous prime is 20605478039. The next prime is 20605478041. The reversal of 20605478040 is 4087450602.

20605478040 is a `hidden beast` number, since 2 + 0 + 605 + 4 + 7 + 8 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (20605478039) and next prime (20605478041).

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

It is a junction number, because it is equal to n+sod(n) for n = 20605477986 and 20605478004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20605478041) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26794776 + ... + 26795544.

It is an arithmetic number, because the mean of its divisors is an integer number (168228060).

Almost surely, 2^20605478040 is an apocalyptic number.

20605478040 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 20605478040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40374734400).

20605478040 is an abundant number, since it is smaller than the sum of its proper divisors (60143990760).

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

20605478040 is a wasteful number, since it uses less digits than its factorization.

20605478040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 20605478040 in words is "twenty billion, six hundred five million, four hundred seventy-eight thousand, forty".