43525278720 has 1760 divisors, whose sum is σ = 205441505280. Its totient is φ = 8546549760.

The previous prime is 43525278707. The next prime is 43525278739. The reversal of 43525278720 is 2787252534.

43525278720 is a `hidden beast` number, since 4 + 3 + 52 + 527 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 926069737 + ... + 926069783.

It is an arithmetic number, because the mean of its divisors is an integer number (116728128).

Almost surely, 2^43525278720 is an apocalyptic number.

43525278720 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 43525278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102720752640).

43525278720 is an abundant number, since it is smaller than the sum of its proper divisors (161916226560).

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

43525278720 is a wasteful number, since it uses less digits than its factorization.

43525278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 43525278720 in words is "forty-three billion, five hundred twenty-five million, two hundred seventy-eight thousand, seven hundred twenty".