13455264600 has 144 divisors (see below), whose sum is σ = 46408770720. Its totient is φ = 3491078400.

The previous prime is 13455264551. The next prime is 13455264607. The reversal of 13455264600 is 646255431.

13455264600 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 5 + 2 + 646 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13455264607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34416 + ... + 167615.

It is an arithmetic number, because the mean of its divisors is an integer number (322283130).

Almost surely, 2^13455264600 is an apocalyptic number.

13455264600 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 13455264600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23204385360).

13455264600 is an abundant number, since it is smaller than the sum of its proper divisors (32953506120).

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

13455264600 is a wasteful number, since it uses less digits than its factorization.

13455264600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202090 (or 202078 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 13455264600 in words is "thirteen billion, four hundred fifty-five million, two hundred sixty-four thousand, six hundred".