20808185040 has 160 divisors (see below), whose sum is σ = 73339770240. Its totient is φ = 5419782144.

The previous prime is 20808185029. The next prime is 20808185089. The reversal of 20808185040 is 4058180802.

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 = 20808184986 and 20808185004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19137 + ... + 204896.

It is an arithmetic number, because the mean of its divisors is an integer number (458373564).

Almost surely, 2^20808185040 is an apocalyptic number.

20808185040 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 20808185040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36669885120).

20808185040 is an abundant number, since it is smaller than the sum of its proper divisors (52531585200).

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

20808185040 is a wasteful number, since it uses less digits than its factorization.

20808185040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224098 (or 224086 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 20808185040 in words is "twenty billion, eight hundred eight million, one hundred eighty-five thousand, forty".