13553567664 has 160 divisors (see below), whose sum is σ = 44096177664. Its totient is φ = 3491389440.

The previous prime is 13553567663. The next prime is 13553567681. The reversal of 13553567664 is 46676535531.

It is not an unprimeable number, because it can be changed into a prime (13553567663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151744 + ... + 223904.

Almost surely, 2^13553567664 is an apocalyptic number.

13553567664 is a gapful number since it is divisible by the number (14) 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 13553567664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22048088832).

13553567664 is an abundant number, since it is smaller than the sum of its proper divisors (30542610000).

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

13553567664 is a wasteful number, since it uses less digits than its factorization.

13553567664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72235 (or 72229 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 51.

The spelling of 13553567664 in words is "thirteen billion, five hundred fifty-three million, five hundred sixty-seven thousand, six hundred sixty-four".