43487405660160 has 2304 divisors, whose sum is σ = 195837313351680. Its totient is φ = 8991554273280.

The previous prime is 43487405660141. The next prime is 43487405660183. The reversal of 43487405660160 is 6106650478434.

43487405660160 is a `hidden beast` number, since 4 + 3 + 4 + 8 + 74 + 0 + 566 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×43487405660160² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 43487405660097 and 43487405660106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50390967889 + ... + 50390968751.

It is an arithmetic number, because the mean of its divisors is an integer number (84998833920).

Almost surely, 2^{43487405660160} is an apocalyptic number.

43487405660160 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 43487405660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97918656675840).

43487405660160 is an abundant number, since it is smaller than the sum of its proper divisors (152349907691520).

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

43487405660160 is a wasteful number, since it uses less digits than its factorization.

43487405660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 43487405660160 in words is "forty-three trillion, four hundred eighty-seven billion, four hundred five million, six hundred sixty thousand, one hundred sixty".