5462164501200 has 720 divisors, whose sum is σ = 21506589561600. Its totient is φ = 1272037478400.

The previous prime is 5462164501181. The next prime is 5462164501207. The reversal of 5462164501200 is 21054612645.

5462164501200 is a `hidden beast` number, since 5 + 4 + 6 + 2 + 1 + 645 + 0 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (5462164501207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115727206 + ... + 115774394.

It is an arithmetic number, because the mean of its divisors is an integer number (29870263280).

Almost surely, 2^{5462164501200} is an apocalyptic number.

5462164501200 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 5462164501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10753294780800).

5462164501200 is an abundant number, since it is smaller than the sum of its proper divisors (16044425060400).

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

5462164501200 is a wasteful number, since it uses less digits than its factorization.

5462164501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47340 (or 47326 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 5462164 and 501200, that added together give a square (5963364 = 2442²).

The spelling of 5462164501200 in words is "five trillion, four hundred sixty-two billion, one hundred sixty-four million, five hundred one thousand, two hundred".