5752131840 has 1152 divisors, whose sum is σ = 26372505600. Its totient is φ = 1154580480.

The previous prime is 5752131829. The next prime is 5752131907. The reversal of 5752131840 is 481312575.

5752131840 is a `hidden beast` number, since 57 + 521 + 3 + 1 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5752131795 and 5752131804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97493731 + ... + 97493789.

It is an arithmetic number, because the mean of its divisors is an integer number (22892800).

Almost surely, 2^5752131840 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 5752131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186252800).

5752131840 is an abundant number, since it is smaller than the sum of its proper divisors (20620373760).

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

5752131840 is a wasteful number, since it uses less digits than its factorization.

5752131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5752131840 is about 75842.8100745219. The cubic root of 5752131840 is about 1791.7453135070.

The spelling of 5752131840 in words is "five billion, seven hundred fifty-two million, one hundred thirty-one thousand, eight hundred forty".