43845550560 has 768 divisors, whose sum is σ = 182020608000. Its totient is φ = 9648709632.

The previous prime is 43845550549. The next prime is 43845550603. The reversal of 43845550560 is 6505554834.

43845550560 is a `hidden beast` number, since 4 + 3 + 8 + 45 + 550 + 56 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 166712989 + ... + 166713251.

It is an arithmetic number, because the mean of its divisors is an integer number (237006000).

Almost surely, 2^43845550560 is an apocalyptic number.

43845550560 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 43845550560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91010304000).

43845550560 is an abundant number, since it is smaller than the sum of its proper divisors (138175057440).

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

43845550560 is a wasteful number, since it uses less digits than its factorization.

43845550560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 43845550560 in words is "forty-three billion, eight hundred forty-five million, five hundred fifty thousand, five hundred sixty".