5167603200 has 240 divisors, whose sum is σ = 17816109696. Its totient is φ = 1317888000.

The previous prime is 5167603193. The next prime is 5167603201. The reversal of 5167603200 is 23067615.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5167603201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 880275 + ... + 886125.

Almost surely, 2^5167603200 is an apocalyptic number.

5167603200 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 5167603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8908054848).

5167603200 is an abundant number, since it is smaller than the sum of its proper divisors (12648506496).

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

5167603200 is a wasteful number, since it uses less digits than its factorization.

5167603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 5167603200 is about 71886.0431516438. The cubic root of 5167603200 is about 1728.8728443585.

The spelling of 5167603200 in words is "five billion, one hundred sixty-seven million, six hundred three thousand, two hundred".