13410545200 has 120 divisors (see below), whose sum is σ = 36738461088. Its totient is φ = 4660285440.

The previous prime is 13410545177. The next prime is 13410545201. The reversal of 13410545200 is 254501431.

It is a happy number.

13410545200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13410545200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13410545201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12549 + ... + 164251.

Almost surely, 2^13410545200 is an apocalyptic number.

13410545200 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 13410545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18369230544).

13410545200 is an abundant number, since it is smaller than the sum of its proper divisors (23327915888).

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

13410545200 is a wasteful number, since it uses less digits than its factorization.

13410545200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151751 (or 151740 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 13410545200 in words is "thirteen billion, four hundred ten million, five hundred forty-five thousand, two hundred".