13539456000 has 1056 divisors, whose sum is σ = 58981897728. Its totient is φ = 2919628800.

The previous prime is 13539455989. The next prime is 13539456043. The reversal of 13539456000 is 65493531.

13539456000 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 9 + 45 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 185471964 + ... + 185472036.

Almost surely, 2^13539456000 is an apocalyptic number.

13539456000 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 13539456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29490948864).

13539456000 is an abundant number, since it is smaller than the sum of its proper divisors (45442441728).

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

13539456000 is a wasteful number, since it uses less digits than its factorization.

13539456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 13539456000 in words is "thirteen billion, five hundred thirty-nine million, four hundred fifty-six thousand".