5755367520 has 1008 divisors, whose sum is σ = 25433760240. Its totient is φ = 1222760448.

The previous prime is 5755367503. The next prime is 5755367531. The reversal of 5755367520 is 257635575.

5755367520 is a `hidden beast` number, since 5 + 7 + 553 + 6 + 75 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 108591814 + ... + 108591866.

It is an arithmetic number, because the mean of its divisors is an integer number (25231905).

Almost surely, 2^5755367520 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 5755367520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12716880120).

5755367520 is an abundant number, since it is smaller than the sum of its proper divisors (19678392720).

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

5755367520 is a wasteful number, since it uses less digits than its factorization.

5755367520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The square root of 5755367520 is about 75864.1385636191. The cubic root of 5755367520 is about 1792.0812137672.

The spelling of 5755367520 in words is "five billion, seven hundred fifty-five million, three hundred sixty-seven thousand, five hundred twenty".