13580557848 has 640 divisors, whose sum is σ = 48804275520. Its totient is φ = 3463741440.

The previous prime is 13580557843. The next prime is 13580557849. The reversal of 13580557848 is 84875508531.

13580557848 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 0 + 557 + 84 + 8 = 666.

It is a super-2 number, since 2×13580557848² (a number of 21 digits) contains 22 as substring.

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 = 13580557794 and 13580557803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13580557843) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58285540 + ... + 58285772.

Almost surely, 2^13580557848 is an apocalyptic number.

13580557848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13580557848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24402137760).

13580557848 is an abundant number, since it is smaller than the sum of its proper divisors (35223717672).

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

13580557848 is a wasteful number, since it uses less digits than its factorization.

13580557848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 13580557848 in words is "thirteen billion, five hundred eighty million, five hundred fifty-seven thousand, eight hundred forty-eight".