53606632516144 has 80 divisors (see below), whose sum is σ = 110832643583200. Its totient is φ = 25043491104768.

The previous prime is 53606632516139. The next prime is 53606632516181. The reversal of 53606632516144 is 44161523660635.

It is a junction number, because it is equal to n+sod(n) for n = 53606632516091 and 53606632516100.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 540836062 + ... + 540935170.

It is an arithmetic number, because the mean of its divisors is an integer number (1385408044790).

Almost surely, 2^{53606632516144} 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 53606632516144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55416321791600).

53606632516144 is an abundant number, since it is smaller than the sum of its proper divisors (57226011067056).

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

53606632516144 is a wasteful number, since it uses less digits than its factorization.

53606632516144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123582 (or 123576 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 52.

The spelling of 53606632516144 in words is "fifty-three trillion, six hundred six billion, six hundred thirty-two million, five hundred sixteen thousand, one hundred forty-four".