5435252144000 has 256 divisors, whose sum is σ = 15513207091200. Its totient is φ = 1855149926400.

The previous prime is 5435252143949. The next prime is 5435252144009. The reversal of 5435252144000 is 4412525345.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5435252144009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24867191 + ... + 25084809.

It is an arithmetic number, because the mean of its divisors is an integer number (60598465200).

Almost surely, 2^{5435252144000} is an apocalyptic number.

5435252144000 is a gapful number since it is divisible by the number (50) 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 5435252144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756603545600).

5435252144000 is an abundant number, since it is smaller than the sum of its proper divisors (10077954947200).

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

5435252144000 is a wasteful number, since it uses less digits than its factorization.

5435252144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217878 (or 217856 counting only the distinct ones).

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

Adding to 5435252144000 its reverse (4412525345), we get a palindrome (5439664669345).

The spelling of 5435252144000 in words is "five trillion, four hundred thirty-five billion, two hundred fifty-two million, one hundred forty-four thousand".