5346096000 has 384 divisors, whose sum is σ = 20624816160. Its totient is φ = 1221427200.

The previous prime is 5346095969. The next prime is 5346096037. The reversal of 5346096000 is 6906435.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2350864 + ... + 2353136.

Almost surely, 2^5346096000 is an apocalyptic number.

5346096000 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 5346096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10312408080).

5346096000 is an abundant number, since it is smaller than the sum of its proper divisors (15278720160).

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

5346096000 is a wasteful number, since it uses less digits than its factorization.

5346096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 5346096000 is about 73117.0021267284. The cubic root of 5346096000 is about 1748.5534713131.

The spelling of 5346096000 in words is "five billion, three hundred forty-six million, ninety-six thousand".