47242586416720 has 20 divisors (see below), whose sum is σ = 109839013419060. Its totient is φ = 18897034566656.

The previous prime is 47242586416703. The next prime is 47242586416733. The reversal of 47242586416720 is 2761468524274.

It is a happy number.

47242586416720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26387618324544 + 20854968092176 = 5136888^2 + 4566724^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 295266165025 + ... + 295266165184.

It is an arithmetic number, because the mean of its divisors is an integer number (5491950670953).

Almost surely, 2^{47242586416720} is an apocalyptic number.

47242586416720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47242586416720 is an abundant number, since it is smaller than the sum of its proper divisors (62596427002340).

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

47242586416720 is a wasteful number, since it uses less digits than its factorization.

47242586416720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590532330222 (or 590532330216 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 58.

The spelling of 47242586416720 in words is "forty-seven trillion, two hundred forty-two billion, five hundred eighty-six million, four hundred sixteen thousand, seven hundred twenty".