5755078263168 has 1280 divisors, whose sum is σ = 19781392276800. Its totient is φ = 1648072065024.

The previous prime is 5755078263167. The next prime is 5755078263229. The reversal of 5755078263168 is 8613628705575.

5755078263168 is a `hidden beast` number, since 5 + 7 + 5 + 507 + 8 + 2 + 63 + 1 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5755078263163) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16303337680 + ... + 16303338032.

Almost surely, 2^{5755078263168} is an apocalyptic number.

5755078263168 is a gapful number since it is divisible by the number (58) 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 5755078263168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9890696138400).

5755078263168 is an abundant number, since it is smaller than the sum of its proper divisors (14026314013632).

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

5755078263168 is a wasteful number, since it uses less digits than its factorization.

5755078263168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 5755078263168 in words is "five trillion, seven hundred fifty-five billion, seventy-eight million, two hundred sixty-three thousand, one hundred sixty-eight".