43872660216 has 384 divisors, whose sum is σ = 150486336000. Its totient is φ = 11216931840.

The previous prime is 43872660199. The next prime is 43872660283. The reversal of 43872660216 is 61206627834.

43872660216 is a `hidden beast` number, since 4 + 3 + 8 + 7 + 26 + 602 + 16 = 666.

43872660216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×43872660216³ (a number of 33 digits) contains 333 as substring.

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, 142907535 + ... + 142907841.

It is an arithmetic number, because the mean of its divisors is an integer number (391891500).

Almost surely, 2^43872660216 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 43872660216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75243168000).

43872660216 is an abundant number, since it is smaller than the sum of its proper divisors (106613675784).

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

43872660216 is a wasteful number, since it uses less digits than its factorization.

43872660216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 43872660216 in words is "forty-three billion, eight hundred seventy-two million, six hundred sixty thousand, two hundred sixteen".