13285765632 has 160 divisors (see below), whose sum is σ = 37323361152. Its totient is φ = 4191289344.

The previous prime is 13285765601. The next prime is 13285765643. The reversal of 13285765632 is 23656758231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3424878 + ... + 3428754.

Almost surely, 2^13285765632 is an apocalyptic number.

13285765632 is a gapful number since it is divisible by the number (12) 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 13285765632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18661680576).

13285765632 is an abundant number, since it is smaller than the sum of its proper divisors (24037595520).

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

13285765632 is an equidigital number, since it uses as much as digits as its factorization.

13285765632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 4002 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The spelling of 13285765632 in words is "thirteen billion, two hundred eighty-five million, seven hundred sixty-five thousand, six hundred thirty-two".