5053501440 has 832 divisors, whose sum is σ = 20916537600. Its totient is φ = 1146617856.

The previous prime is 5053501417. The next prime is 5053501489. The reversal of 5053501440 is 441053505.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 136581102 + ... + 136581138.

Almost surely, 2^5053501440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5053501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10458268800).

5053501440 is an abundant number, since it is smaller than the sum of its proper divisors (15863036160).

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

5053501440 is a wasteful number, since it uses less digits than its factorization.

5053501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5053501440 is about 71087.9837947314. The cubic root of 5053501440 is about 1716.0533994826.

Adding to 5053501440 its reverse (441053505), we get a palindrome (5494554945).

The spelling of 5053501440 in words is "five billion, fifty-three million, five hundred one thousand, four hundred forty".