43181566560 has 576 divisors, whose sum is σ = 172137498624. Its totient is φ = 10127462400.

The previous prime is 43181566559. The next prime is 43181566577. The reversal of 43181566560 is 6566518134.

43181566560 is a `hidden beast` number, since 4 + 3 + 1 + 81 + 5 + 6 + 6 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 13256452 + ... + 13259708.

It is an arithmetic number, because the mean of its divisors is an integer number (298849824).

Almost surely, 2^43181566560 is an apocalyptic number.

43181566560 is a gapful number since it is divisible by the number (40) 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 43181566560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86068749312).

43181566560 is an abundant number, since it is smaller than the sum of its proper divisors (128955932064).

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

43181566560 is a wasteful number, since it uses less digits than its factorization.

43181566560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

It can be divided in two parts, 4318 and 1566560, that added together give a triangular number (1570878 = T₁₇₇₂).

The spelling of 43181566560 in words is "forty-three billion, one hundred eighty-one million, five hundred sixty-six thousand, five hundred sixty".