53685984093184 has 99 divisors (see below), whose sum is σ = 107776587663633. Its totient is φ = 26729158656000.

The previous prime is 53685984093167. The next prime is 53685984093223. The reversal of 53685984093184 is 48139048958635.

The square root of 53685984093184 is 7327072.

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

It can be written as a sum of positive squares in only one way, i.e., 53151798518784 + 534185574400 = 7290528^2 + 730880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94020987619 + ... + 94020988189.

Almost surely, 2^{53685984093184} is an apocalyptic number.

53685984093184 is the 7327072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53685984093184

53685984093184 is an abundant number, since it is smaller than the sum of its proper divisors (54090603570449).

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

53685984093184 is an frugal number, since it uses more digits than its factorization.

53685984093184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 73.

The spelling of 53685984093184 in words is "fifty-three trillion, six hundred eighty-five billion, nine hundred eighty-four million, ninety-three thousand, one hundred eighty-four".