5351849717760 has 1872 divisors, whose sum is σ = 24352563283776. Its totient is φ = 1055001673728.

The previous prime is 5351849717737. The next prime is 5351849717801. The reversal of 5351849717760 is 677179481535.

5351849717760 is a `hidden beast` number, since 5 + 3 + 5 + 18 + 497 + 1 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39064596412 + ... + 39064596548.

It is an arithmetic number, because the mean of its divisors is an integer number (13008847908).

Almost surely, 2^{5351849717760} 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 5351849717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12176281641888).

5351849717760 is an abundant number, since it is smaller than the sum of its proper divisors (19000713566016).

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

5351849717760 is a wasteful number, since it uses less digits than its factorization.

5351849717760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 5351849717760 in words is "five trillion, three hundred fifty-one billion, eight hundred forty-nine million, seven hundred seventeen thousand, seven hundred sixty".