5346855360 has 1344 divisors, whose sum is σ = 25562234880. Its totient is φ = 1030164480.

The previous prime is 5346855343. The next prime is 5346855373. The reversal of 5346855360 is 635586435.

5346855360 is a `hidden beast` number, since 5 + 34 + 6 + 8 + 553 + 60 = 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 (45).

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, 113762857 + ... + 113762903.

It is an arithmetic number, because the mean of its divisors is an integer number (19019520).

Almost surely, 2^5346855360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5346855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12781117440).

5346855360 is an abundant number, since it is smaller than the sum of its proper divisors (20215379520).

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

5346855360 is a wasteful number, since it uses less digits than its factorization.

5346855360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 5346855360 is about 73122.1947154214. The cubic root of 5346855360 is about 1748.6362556292.

It can be divided in two parts, 534685 and 5360, that added together give a palindrome (540045).

The spelling of 5346855360 in words is "five billion, three hundred forty-six million, eight hundred fifty-five thousand, three hundred sixty".