43160487552 has 1024 divisors, whose sum is σ = 171085824000. Its totient is φ = 10391224320.

The previous prime is 43160487547. The next prime is 43160487563. The reversal of 43160487552 is 25578406134.

43160487552 is a `hidden beast` number, since 4 + 3 + 16 + 0 + 4 + 87 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 43160487498 and 43160487507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 185238028 + ... + 185238260.

It is an arithmetic number, because the mean of its divisors is an integer number (167076000).

Almost surely, 2^43160487552 is an apocalyptic number.

43160487552 is a gapful number since it is divisible by the number (42) 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 43160487552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85542912000).

43160487552 is an abundant number, since it is smaller than the sum of its proper divisors (127925336448).

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

43160487552 is a wasteful number, since it uses less digits than its factorization.

43160487552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 43160487552 in words is "forty-three billion, one hundred sixty million, four hundred eighty-seven thousand, five hundred fifty-two".