13454553200 has 120 divisors (see below), whose sum is σ = 35710452480. Its totient is φ = 4830508800.

The previous prime is 13454553197. The next prime is 13454553227. The reversal of 13454553200 is 235545431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328247 + ... + 366953.

It is an arithmetic number, because the mean of its divisors is an integer number (297587104).

Almost surely, 2^13454553200 is an apocalyptic number.

13454553200 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 13454553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17855226240).

13454553200 is an abundant number, since it is smaller than the sum of its proper divisors (22255899280).

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

13454553200 is a wasteful number, since it uses less digits than its factorization.

13454553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38815 (or 38804 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 13454553200 in words is "thirteen billion, four hundred fifty-four million, five hundred fifty-three thousand, two hundred".