5164911385200 has 2160 divisors, whose sum is σ = 22210715030400. Its totient is φ = 1106778193920.

The previous prime is 5164911385181. The next prime is 5164911385217. The reversal of 5164911385200 is 25831194615.

It is a happy number.

5164911385200 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 9 + 113 + 8 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 34663834726 + ... + 34663834874.

It is an arithmetic number, because the mean of its divisors is an integer number (10282738440).

Almost surely, 2^{5164911385200} is an apocalyptic number.

5164911385200 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 5164911385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11105357515200).

5164911385200 is an abundant number, since it is smaller than the sum of its proper divisors (17045803645200).

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

5164911385200 is a wasteful number, since it uses less digits than its factorization.

5164911385200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 5164911385200 in words is "five trillion, one hundred sixty-four billion, nine hundred eleven million, three hundred eighty-five thousand, two hundred".