5460345187200 has 576 divisors, whose sum is σ = 20579825775600. Its totient is φ = 1374707220480.

The previous prime is 5460345187177. The next prime is 5460345187207. The reversal of 5460345187200 is 27815430645.

5460345187200 is a `hidden beast` number, since 5 + 4 + 60 + 3 + 4 + 518 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460345187207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160312572 + ... + 160346628.

Almost surely, 2^{5460345187200} is an apocalyptic number.

5460345187200 is a gapful number since it is divisible by the number (50) 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 5460345187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289912887800).

5460345187200 is an abundant number, since it is smaller than the sum of its proper divisors (15119480588400).

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

5460345187200 is a wasteful number, since it uses less digits than its factorization.

5460345187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34399 (or 34379 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5460345187200 in words is "five trillion, four hundred sixty billion, three hundred forty-five million, one hundred eighty-seven thousand, two hundred".