53605621035642 has 96 divisors (see below), whose sum is σ = 122816795778432. Its totient is φ = 15502616534016.

The previous prime is 53605621035623. The next prime is 53605621035643. The reversal of 53605621035642 is 24653012650635.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 53605621035591 and 53605621035600.

It is not an unprimeable number, because it can be changed into a prime (53605621035643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14901163 + ... + 18145409.

It is an arithmetic number, because the mean of its divisors is an integer number (1279341622692).

Almost surely, 2^{53605621035642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53605621035642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61408397889216).

53605621035642 is an abundant number, since it is smaller than the sum of its proper divisors (69211174742790).

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

53605621035642 is a wasteful number, since it uses less digits than its factorization.

53605621035642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245032 (or 3245015 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 53605621035642 in words is "fifty-three trillion, six hundred five billion, six hundred twenty-one million, thirty-five thousand, six hundred forty-two".