7135753004544 has 160 divisors (see below), whose sum is σ = 19531307702016. Its totient is φ = 2313417646080.

The previous prime is 7135753004543. The next prime is 7135753004591. The reversal of 7135753004544 is 4454003575317.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 7135753004493 and 7135753004502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7135753004543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158595619 + ... + 158640605.

Almost surely, 2^{7135753004544} is an apocalyptic number.

7135753004544 is a gapful number since it is divisible by the number (74) 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 7135753004544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9765653851008).

7135753004544 is an abundant number, since it is smaller than the sum of its proper divisors (12395554697472).

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

7135753004544 is a wasteful number, since it uses less digits than its factorization.

7135753004544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47836 (or 47820 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 48.

The spelling of 7135753004544 in words is "seven trillion, one hundred thirty-five billion, seven hundred fifty-three million, four thousand, five hundred forty-four".