5264179200 has 816 divisors, whose sum is σ = 23404037760. Its totient is φ = 1132462080.

The previous prime is 5264179169. The next prime is 5264179201. The reversal of 5264179200 is 29714625.

5264179200 is a `hidden beast` number, since 5 + 2 + 641 + 7 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (816).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5264179201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309657592 + ... + 309657608.

Almost surely, 2^5264179200 is an apocalyptic number.

5264179200 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 5264179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11702018880).

5264179200 is an abundant number, since it is smaller than the sum of its proper divisors (18139858560).

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

5264179200 is an equidigital number, since it uses as much as digits as its factorization.

5264179200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5264179200 is about 72554.6635303341. The cubic root of 5264179200 is about 1739.5765913882.

It can be divided in two parts, 52641 and 79200, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 5264179200 in words is "five billion, two hundred sixty-four million, one hundred seventy-nine thousand, two hundred".