5586260152320 has 520 divisors, whose sum is σ = 20099279133384. Its totient is φ = 1484169412608.

The previous prime is 5586260152303. The next prime is 5586260152327. The reversal of 5586260152320 is 232510626855.

5586260152320 is a `hidden beast` number, since 5 + 5 + 8 + 6 + 2 + 601 + 5 + 2 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 109312229376 + 5476947922944 = 330624^2 + 2340288^2 .

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 (5586260152327) 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, 459503682 + ... + 459515838.

Almost surely, 2^{5586260152320} 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 5586260152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10049639566692).

5586260152320 is an abundant number, since it is smaller than the sum of its proper divisors (14513018981064).

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

5586260152320 is a wasteful number, since it uses less digits than its factorization.

5586260152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12475 (or 12444 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 5586260152320 in words is "five trillion, five hundred eighty-six billion, two hundred sixty million, one hundred fifty-two thousand, three hundred twenty".