13532995728000 has 512 divisors, whose sum is σ = 56967480460800. Its totient is φ = 3093255475200.

The previous prime is 13532995727981. The next prime is 13532995728001. The reversal of 13532995728000 is 82759923531.

13532995728000 is a `hidden beast` number, since 1 + 35 + 32 + 9 + 9 + 572 + 8 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13532995728001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786402 + ... + 5261598.

It is an arithmetic number, because the mean of its divisors is an integer number (111264610275).

Almost surely, 2^{13532995728000} is an apocalyptic number.

13532995728000 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 13532995728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28483740230400).

13532995728000 is an abundant number, since it is smaller than the sum of its proper divisors (43434484732800).

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

13532995728000 is an equidigital number, since it uses as much as digits as its factorization.

13532995728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475242 (or 4475214 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 13532995728000 in words is "thirteen trillion, five hundred thirty-two billion, nine hundred ninety-five million, seven hundred twenty-eight thousand".