13561632000 has 972 divisors, whose sum is σ = 58656069108. Its totient is φ = 2999808000.

The previous prime is 13561631989. The next prime is 13561632001. The reversal of 13561632000 is 23616531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13561632000 is a `hidden beast` number, since 13 + 5 + 616 + 32 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 433972224 + 13127659776 = 20832^2 + 114576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13561632001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 437471985 + ... + 437472015.

Almost surely, 2^13561632000 is an apocalyptic number.

13561632000 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 13561632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29328034554).

13561632000 is an abundant number, since it is smaller than the sum of its proper divisors (45094437108).

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

13561632000 is an equidigital number, since it uses as much as digits as its factorization.

13561632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 48 counting only the distinct ones).

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

The spelling of 13561632000 in words is "thirteen billion, five hundred sixty-one million, six hundred thirty-two thousand".