20188385360 has 240 divisors, whose sum is σ = 58836265488. Its totient is φ = 6377226240.

The previous prime is 20188385359. The next prime is 20188385383. The reversal of 20188385360 is 6358388102.

It can be written as a sum of positive squares in 8 ways, for example, as 140090896 + 20048294464 = 11836^2 + 141592^2 .

It is a hoax number, since the sum of its digits (44) 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 (44).

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 47 ways as a sum of consecutive naturals, for example, 2134562 + ... + 2143998.

Almost surely, 2^20188385360 is an apocalyptic number.

20188385360 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 20188385360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29418132744).

20188385360 is an abundant number, since it is smaller than the sum of its proper divisors (38647880128).

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

20188385360 is a wasteful number, since it uses less digits than its factorization.

20188385360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9502 (or 9485 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 20188385360 in words is "twenty billion, one hundred eighty-eight million, three hundred eighty-five thousand, three hundred sixty".