52609714669440 has 320 divisors, whose sum is σ = 187897869743760. Its totient is φ = 14027832557568.

The previous prime is 52609714669403. The next prime is 52609714669441. The reversal of 52609714669440 is 4496641790625.

It is a happy number.

52609714669440 is a `hidden beast` number, since 5 + 2 + 6 + 0 + 97 + 1 + 46 + 69 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52609714669441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 571593664 + ... + 571685696.

Almost surely, 2^{52609714669440} 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 52609714669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93948934871880).

52609714669440 is an abundant number, since it is smaller than the sum of its proper divisors (135288155074320).

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

52609714669440 is a wasteful number, since it uses less digits than its factorization.

52609714669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103091 (or 103070 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 52609714669440 in words is "fifty-two trillion, six hundred nine billion, seven hundred fourteen million, six hundred sixty-nine thousand, four hundred forty".