5347292682240 has 1728 divisors, whose sum is σ = 20890947168000. Its totient is φ = 1309294264320.

The previous prime is 5347292682223. The next prime is 5347292682241. The reversal of 5347292682240 is 422862927435.

5347292682240 is a `hidden beast` number, since 5 + 3 + 472 + 92 + 6 + 82 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×5347292682240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5347292682241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75313981405 + ... + 75313981475.

It is an arithmetic number, because the mean of its divisors is an integer number (12089668500).

Almost surely, 2^{5347292682240} 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 5347292682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445473584000).

5347292682240 is an abundant number, since it is smaller than the sum of its proper divisors (15543654485760).

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

5347292682240 is an frugal number, since it uses more digits than its factorization.

5347292682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 5347292682240 in words is "five trillion, three hundred forty-seven billion, two hundred ninety-two million, six hundred eighty-two thousand, two hundred forty".