5195673600 has 312 divisors, whose sum is σ = 18513887952. Its totient is φ = 1277952000.

The previous prime is 5195673577. The next prime is 5195673631. The reversal of 5195673600 is 63765915.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (312).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3992950 + ... + 3994250.

Almost surely, 2^5195673600 is an apocalyptic number.

5195673600 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 5195673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9256943976).

5195673600 is an abundant number, since it is smaller than the sum of its proper divisors (13318214352).

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

5195673600 is a wasteful number, since it uses less digits than its factorization.

5195673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 5195673600 is about 72081.0210804481. The cubic root of 5195673600 is about 1731.9976034116.

The spelling of 5195673600 in words is "five billion, one hundred ninety-five million, six hundred seventy-three thousand, six hundred".