5855160960 has 576 divisors, whose sum is σ = 23025300480. Its totient is φ = 1368576000.

The previous prime is 5855160947. The next prime is 5855160967. The reversal of 5855160960 is 690615585.

It is a happy number.

5855160960 is a `hidden beast` number, since 5 + 8 + 551 + 6 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (5855160967) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 21605625 + ... + 21605895.

It is an arithmetic number, because the mean of its divisors is an integer number (39974480).

Almost surely, 2^5855160960 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 5855160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11512650240).

5855160960 is an abundant number, since it is smaller than the sum of its proper divisors (17170139520).

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

5855160960 is a wasteful number, since it uses less digits than its factorization.

5855160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 5855160960 is about 76519.0235170314. The cubic root of 5855160960 is about 1802.3796674190.

The spelling of 5855160960 in words is "five billion, eight hundred fifty-five million, one hundred sixty thousand, nine hundred sixty".