13235632000 has 64 divisors (see below), whose sum is σ = 32907129840. Its totient is φ = 5294246400.

The previous prime is 13235631973. The next prime is 13235632037. The reversal of 13235632000 is 23653231.

It is a happy number.

13235632000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397614 + ... + 429613.

Almost surely, 2^13235632000 is an apocalyptic number.

13235632000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13235632000 is an abundant number, since it is smaller than the sum of its proper divisors (19671497840).

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

13235632000 is an frugal number, since it uses more digits than its factorization.

13235632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827256 (or 827234 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The spelling of 13235632000 in words is "thirteen billion, two hundred thirty-five million, six hundred thirty-two thousand".