5164128000 has 576 divisors, whose sum is σ = 19642022400. Its totient is φ = 1335398400.

The previous prime is 5164127953. The next prime is 5164128007. The reversal of 5164128000 is 8214615.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5164128007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37151931 + ... + 37152069.

Almost surely, 2^5164128000 is an apocalyptic number.

5164128000 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 5164128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9821011200).

5164128000 is an abundant number, since it is smaller than the sum of its proper divisors (14477894400).

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

5164128000 is a wasteful number, since it uses less digits than its factorization.

5164128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5164128000 is about 71861.8674959119. The cubic root of 5164128000 is about 1728.4852032537.

The spelling of 5164128000 in words is "five billion, one hundred sixty-four million, one hundred twenty-eight thousand".