13583638080 has 672 divisors, whose sum is σ = 52722109440. Its totient is φ = 3193344000.

The previous prime is 13583638031. The next prime is 13583638109. The reversal of 13583638080 is 8083638531.

13583638080 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 3 + 638 + 0 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54117955 + ... + 54118205.

It is an arithmetic number, because the mean of its divisors is an integer number (78455520).

Almost surely, 2^13583638080 is an apocalyptic number.

13583638080 is a gapful number since it is divisible by the number (10) 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 13583638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26361054720).

13583638080 is an abundant number, since it is smaller than the sum of its proper divisors (39138471360).

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

13583638080 is a wasteful number, since it uses less digits than its factorization.

13583638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13583638080 in words is "thirteen billion, five hundred eighty-three million, six hundred thirty-eight thousand, eighty".