5835196416 has 384 divisors, whose sum is σ = 19700029440. Its totient is φ = 1496580096.

The previous prime is 5835196379. The next prime is 5835196427. The reversal of 5835196416 is 6146915385.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16815955 + ... + 16816301.

It is an arithmetic number, because the mean of its divisors is an integer number (51302160).

Almost surely, 2^5835196416 is an apocalyptic number.

5835196416 is a gapful number since it is divisible by the number (56) 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 5835196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9850014720).

5835196416 is an abundant number, since it is smaller than the sum of its proper divisors (13864833024).

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

5835196416 is a wasteful number, since it uses less digits than its factorization.

5835196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 399 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 5835196416 is about 76388.4573479528. The cubic root of 5835196416 is about 1800.3287893222.

The spelling of 5835196416 in words is "five billion, eight hundred thirty-five million, one hundred ninety-six thousand, four hundred sixteen".