13532616000 has 896 divisors, whose sum is σ = 53558968320. Its totient is φ = 3338496000.

The previous prime is 13532615989. The next prime is 13532616049. The reversal of 13532616000 is 61623531.

13532616000 is a `hidden beast` number, since 1 + 3 + 53 + 2 + 6 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 287927977 + ... + 287928023.

Almost surely, 2^13532616000 is an apocalyptic number.

13532616000 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 13532616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26779484160).

13532616000 is an abundant number, since it is smaller than the sum of its proper divisors (40026352320).

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

13532616000 is a wasteful number, since it uses less digits than its factorization.

13532616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 13532616000 in words is "thirteen billion, five hundred thirty-two million, six hundred sixteen thousand".