13551836800 has 96 divisors (see below), whose sum is σ = 33936449580. Its totient is φ = 5346385920.

The previous prime is 13551836797. The next prime is 13551836827. The reversal of 13551836800 is 863815531.

It can be written as a sum of positive squares in 6 ways, for example, as 8524459584 + 5027377216 = 92328^2 + 70904^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204594 + ... + 262606.

Almost surely, 2^13551836800 is an apocalyptic number.

13551836800 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 13551836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968224790).

13551836800 is an abundant number, since it is smaller than the sum of its proper divisors (20384612780).

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

13551836800 is an equidigital number, since it uses as much as digits as its factorization.

13551836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58110 (or 58093 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 13551836800 in words is "thirteen billion, five hundred fifty-one million, eight hundred thirty-six thousand, eight hundred".