20135622738240 has 560 divisors, whose sum is σ = 74524593678480. Its totient is φ = 5154343649280.

The previous prime is 20135622738229. The next prime is 20135622738241. The reversal of 20135622738240 is 4283722653102.

20135622738240 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 5 + 6 + 227 + 382 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 44717023296 + 20090905714944 = 211464^2 + 4482288^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20135622738241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 129963220 + ... + 130118060.

Almost surely, 2^{20135622738240} is an apocalyptic number.

20135622738240 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 20135622738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37262296839240).

20135622738240 is an abundant number, since it is smaller than the sum of its proper divisors (54388970940240).

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

20135622738240 is a wasteful number, since it uses less digits than its factorization.

20135622738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155072 (or 155053 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 20135622738240 in words is "twenty trillion, one hundred thirty-five billion, six hundred twenty-two million, seven hundred thirty-eight thousand, two hundred forty".