43878764160 has 1536 divisors, whose sum is σ = 205302988800. Its totient is φ = 8360755200.

The previous prime is 43878764143. The next prime is 43878764221. The reversal of 43878764160 is 6146787834.

It is a junction number, because it is equal to n+sod(n) for n = 43878764097 and 43878764106.

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, 345502017 + ... + 345502143.

It is an arithmetic number, because the mean of its divisors is an integer number (133660800).

Almost surely, 2^43878764160 is an apocalyptic number.

43878764160 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 43878764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102651494400).

43878764160 is an abundant number, since it is smaller than the sum of its proper divisors (161424224640).

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

43878764160 is a wasteful number, since it uses less digits than its factorization.

43878764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 43878764160 in words is "forty-three billion, eight hundred seventy-eight million, seven hundred sixty-four thousand, one hundred sixty".