5835196800 has 192 divisors, whose sum is σ = 21355515600. Its totient is φ = 1556029440.

The previous prime is 5835196769. The next prime is 5835196847. The reversal of 5835196800 is 86915385.

5835196800 is a `hidden beast` number, since 58 + 3 + 519 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 52632 + ... + 120168.

Almost surely, 2^5835196800 is an apocalyptic number.

5835196800 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 5835196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10677757800).

5835196800 is an abundant number, since it is smaller than the sum of its proper divisors (15520318800).

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

5835196800 is a wasteful number, since it uses less digits than its factorization.

5835196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67570 (or 67547 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5835196800 is about 76388.4598614215. The cubic root of 5835196800 is about 1800.3288288139.

The spelling of 5835196800 in words is "five billion, eight hundred thirty-five million, one hundred ninety-six thousand, eight hundred".