5585013688320 has 1296 divisors, whose sum is σ = 22614532717140. Its totient is φ = 1273563709440.

The previous prime is 5585013688313. The next prime is 5585013688343. The reversal of 5585013688320 is 238863105855.

It is a happy number.

5585013688320 is a `hidden beast` number, since 5 + 5 + 8 + 501 + 36 + 8 + 83 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3862073926656 + 1722939761664 = 1965216^2 + 1312608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3222742174 + ... + 3222743906.

Almost surely, 2^{5585013688320} 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 5585013688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11307266358570).

5585013688320 is an abundant number, since it is smaller than the sum of its proper divisors (17029519028820).

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

5585013688320 is a wasteful number, since it uses less digits than its factorization.

5585013688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 5585013688320 in words is "five trillion, five hundred eighty-five billion, thirteen million, six hundred eighty-eight thousand, three hundred twenty".