5349609228096 has 1344 divisors, whose sum is σ = 19128362373120. Its totient is φ = 1397440512000.

The previous prime is 5349609228049. The next prime is 5349609228181. The reversal of 5349609228096 is 6908229069435.

5349609228096 is a `hidden beast` number, since 5 + 349 + 6 + 0 + 9 + 2 + 280 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34073944050 + ... + 34073944206.

It is an arithmetic number, because the mean of its divisors is an integer number (14232412480).

Almost surely, 2^{5349609228096} is an apocalyptic number.

5349609228096 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 5349609228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9564181186560).

5349609228096 is an abundant number, since it is smaller than the sum of its proper divisors (13778753145024).

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

5349609228096 is a wasteful number, since it uses less digits than its factorization.

5349609228096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 5349609228096 in words is "five trillion, three hundred forty-nine billion, six hundred nine million, two hundred twenty-eight thousand, ninety-six".