52466319360 has 1536 divisors, whose sum is σ = 247325944320. Its totient is φ = 9965666304.

The previous prime is 52466319329. The next prime is 52466319361. The reversal of 52466319360 is 6391366425.

52466319360 is a `hidden beast` number, since 5 + 2 + 4 + 6 + 631 + 9 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×52466319360³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52466319361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2281144309 + ... + 2281144331.

It is an arithmetic number, because the mean of its divisors is an integer number (161019495).

Almost surely, 2^52466319360 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 52466319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123662972160).

52466319360 is an abundant number, since it is smaller than the sum of its proper divisors (194859624960).

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

52466319360 is a wasteful number, since it uses less digits than its factorization.

52466319360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 52466319360 in words is "fifty-two billion, four hundred sixty-six million, three hundred nineteen thousand, three hundred sixty".