5435768755648 has 112 divisors (see below), whose sum is σ = 13451935325184. Its totient is φ = 2117248957440.

The previous prime is 5435768755639. The next prime is 5435768755673. The reversal of 5435768755648 is 8465578675345.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

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, 17970265 + ... + 18270247.

Almost surely, 2^{5435768755648} 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 5435768755648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6725967662592).

5435768755648 is an abundant number, since it is smaller than the sum of its proper divisors (8016166569536).

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

5435768755648 is a wasteful number, since it uses less digits than its factorization.

5435768755648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303690 (or 303680 counting only the distinct ones).

The product of its digits is 3386880000, while the sum is 73.

The spelling of 5435768755648 in words is "five trillion, four hundred thirty-five billion, seven hundred sixty-eight million, seven hundred fifty-five thousand, six hundred forty-eight".