13535553200 has 120 divisors (see below), whose sum is σ = 35204705088. Its totient is φ = 4971479040.

The previous prime is 13535553191. The next prime is 13535553247. The reversal of 13535553200 is 235553531.

It is a super-2 number, since 2×13535553200² (a number of 21 digits) contains 22 as substring.

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, 996857 + ... + 1010343.

Almost surely, 2^13535553200 is an apocalyptic number.

13535553200 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 13535553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17602352544).

13535553200 is an abundant number, since it is smaller than the sum of its proper divisors (21669151888).

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

13535553200 is a wasteful number, since it uses less digits than its factorization.

13535553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13711 (or 13700 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 32.

The spelling of 13535553200 in words is "thirteen billion, five hundred thirty-five million, five hundred fifty-three thousand, two hundred".