53742505341184 has 243 divisors, whose sum is σ = 123331623485287. Its totient is φ = 23353404236800.

The previous prime is 53742505341071. The next prime is 53742505341193. The reversal of 53742505341184 is 48114350524735.

The square root of 53742505341184 is 7330928.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29675595639 + ... + 29675597449.

Almost surely, 2^{53742505341184} is an apocalyptic number.

53742505341184 is the 7330928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53742505341184

53742505341184 is an abundant number, since it is smaller than the sum of its proper divisors (69589118144103).

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

53742505341184 is an frugal number, since it uses more digits than its factorization.

53742505341184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 52.

The spelling of 53742505341184 in words is "fifty-three trillion, seven hundred forty-two billion, five hundred five million, three hundred forty-one thousand, one hundred eighty-four".