20135542544000 has 128 divisors (see below), whose sum is σ = 53912915718480. Its totient is φ = 7434661785600.

The previous prime is 20135542543967. The next prime is 20135542544009. The reversal of 20135542544000 is 44524553102.

It can be written as a sum of positive squares in 8 ways, for example, as 311748022336 + 19823794521664 = 558344^2 + 4452392^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (20135542544009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48194747 + ... + 48610746.

Almost surely, 2^{20135542544000} is an apocalyptic number.

20135542544000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20135542544000 is an abundant number, since it is smaller than the sum of its proper divisors (33777373174480).

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

20135542544000 is an equidigital number, since it uses as much as digits as its factorization.

20135542544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96805535 (or 96805513 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

It can be divided in two parts, 2013554 and 2544000, that added together give a palindrome (4557554).

The spelling of 20135542544000 in words is "twenty trillion, one hundred thirty-five billion, five hundred forty-two million, five hundred forty-four thousand".