5194635600 has 480 divisors, whose sum is σ = 21973165056. Its totient is φ = 1015603200.

The previous prime is 5194635577. The next prime is 5194635619. The reversal of 5194635600 is 65364915.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1569147 + ... + 1572453.

Almost surely, 2^5194635600 is an apocalyptic number.

5194635600 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 5194635600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10986582528).

5194635600 is an abundant number, since it is smaller than the sum of its proper divisors (16778529456).

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

5194635600 is a wasteful number, since it uses less digits than its factorization.

5194635600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 5194635600 is about 72073.8204898283. The cubic root of 5194635600 is about 1731.8822553107.

The spelling of 5194635600 in words is "five billion, one hundred ninety-four million, six hundred thirty-five thousand, six hundred".