5429758752 has 192 divisors, whose sum is σ = 17336592000. Its totient is φ = 1639664640.

The previous prime is 5429758667. The next prime is 5429758759. The reversal of 5429758752 is 2578579245.

5429758752 is a `hidden beast` number, since 5 + 4 + 2 + 9 + 7 + 587 + 52 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7056000) is a multiple of the sum of its prime factors (2016).

It is not an unprimeable number, because it can be changed into a prime (5429758759) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3316078 + ... + 3317714.

It is an arithmetic number, because the mean of its divisors is an integer number (90294750).

Almost surely, 2^5429758752 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 5429758752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668296000).

5429758752 is an abundant number, since it is smaller than the sum of its proper divisors (11906833248).

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

5429758752 is a wasteful number, since it uses less digits than its factorization.

5429758752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2002 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The square root of 5429758752 is about 73686.8967456223. The cubic root of 5429758752 is about 1757.6275230391.

The spelling of 5429758752 in words is "five billion, four hundred twenty-nine million, seven hundred fifty-eight thousand, seven hundred fifty-two".