43788156160 has 216 divisors, whose sum is σ = 125314839720. Its totient is φ = 14606548992.

The previous prime is 43788156157. The next prime is 43788156179. The reversal of 43788156160 is 6165188734.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25543710976 + 18244445184 = 159824^2 + 135072^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2311206 + ... + 2330074.

It is an arithmetic number, because the mean of its divisors is an integer number (580161295).

Almost surely, 2^43788156160 is an apocalyptic number.

43788156160 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 43788156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62657419860).

43788156160 is an abundant number, since it is smaller than the sum of its proper divisors (81526683560).

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

43788156160 is a wasteful number, since it uses less digits than its factorization.

43788156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18941 (or 18920 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 43788156160 in words is "forty-three billion, seven hundred eighty-eight million, one hundred fifty-six thousand, one hundred sixty".