5162371200 has 576 divisors, whose sum is σ = 21802622400. Its totient is φ = 1137991680.

The previous prime is 5162371189. The next prime is 5162371211. The reversal of 5162371200 is 21732615.

It is a happy number.

5162371200 is a `hidden beast` number, since 516 + 23 + 7 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5162371189) and next prime (5162371211).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5845959 + ... + 5846841.

It is an arithmetic number, because the mean of its divisors is an integer number (37851775).

Almost surely, 2^5162371200 is an apocalyptic number.

5162371200 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 5162371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10901311200).

5162371200 is an abundant number, since it is smaller than the sum of its proper divisors (16640251200).

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

5162371200 is a wasteful number, since it uses less digits than its factorization.

5162371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5162371200 is about 71849.6430053762. The cubic root of 5162371200 is about 1728.2891748559.

The spelling of 5162371200 in words is "five billion, one hundred sixty-two million, three hundred seventy-one thousand, two hundred".