5585670351360 has 640 divisors, whose sum is σ = 22342775685120. Its totient is φ = 1310415667200.

The previous prime is 5585670351353. The next prime is 5585670351361. The reversal of 5585670351360 is 631530765855.

5585670351360 is a `hidden beast` number, since 5 + 5 + 8 + 5 + 67 + 0 + 3 + 513 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5585670351297 and 5585670351306.

It is not an unprimeable number, because it can be changed into a prime (5585670351361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23451429 + ... + 23688411.

It is an arithmetic number, because the mean of its divisors is an integer number (34910587008).

Almost surely, 2^{5585670351360} 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 5585670351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171387842560).

5585670351360 is an abundant number, since it is smaller than the sum of its proper divisors (16757105333760).

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

5585670351360 is a wasteful number, since it uses less digits than its factorization.

5585670351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237057 (or 237035 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 5585670351360 in words is "five trillion, five hundred eighty-five billion, six hundred seventy million, three hundred fifty-one thousand, three hundred sixty".