5164545830400 has 1920 divisors, whose sum is σ = 21978479001600. Its totient is φ = 1174686105600.

The previous prime is 5164545830359. The next prime is 5164545830413. The reversal of 5164545830400 is 40385454615.

5164545830400 is a `hidden beast` number, since 5 + 1 + 64 + 5 + 4 + 583 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 9173260519 + ... + 9173261081.

It is an arithmetic number, because the mean of its divisors is an integer number (11447124480).

Almost surely, 2^{5164545830400} is an apocalyptic number.

5164545830400 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 5164545830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10989239500800).

5164545830400 is an abundant number, since it is smaller than the sum of its proper divisors (16813933171200).

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

5164545830400 is a wasteful number, since it uses less digits than its factorization.

5164545830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 5164545830400 in words is "five trillion, one hundred sixty-four billion, five hundred forty-five million, eight hundred thirty thousand, four hundred".