20008769040 has 600 divisors, whose sum is σ = 78408653400. Its totient is φ = 4700602368.

The previous prime is 20008768999. The next prime is 20008769047. The reversal of 20008769040 is 4096780002.

It can be written as a sum of positive squares in 4 ways, for example, as 658846224 + 19349922816 = 25668^2 + 139104^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 20008768986 and 20008769004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20008769047) 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, 44562736 + ... + 44563184.

It is an arithmetic number, because the mean of its divisors is an integer number (130681089).

Almost surely, 2^20008769040 is an apocalyptic number.

20008769040 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 20008769040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39204326700).

20008769040 is an abundant number, since it is smaller than the sum of its proper divisors (58399884360).

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

20008769040 is a wasteful number, since it uses less digits than its factorization.

20008769040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20008769040 in words is "twenty billion, eight million, seven hundred sixty-nine thousand, forty".