5432247313920 has 1440 divisors, whose sum is σ = 23207451458400. Its totient is φ = 1200883138560.

The previous prime is 5432247313879. The next prime is 5432247313937. The reversal of 5432247313920 is 293137422345.

5432247313920 is a `hidden beast` number, since 5 + 4 + 3 + 2 + 247 + 313 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3254790846 + ... + 3254792514.

It is an arithmetic number, because the mean of its divisors is an integer number (16116285735).

Almost surely, 2^{5432247313920} 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 5432247313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11603725729200).

5432247313920 is an abundant number, since it is smaller than the sum of its proper divisors (17775204144480).

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

5432247313920 is a wasteful number, since it uses less digits than its factorization.

5432247313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 5432247313920 in words is "five trillion, four hundred thirty-two billion, two hundred forty-seven million, three hundred thirteen thousand, nine hundred twenty".