5966428160 has 576 divisors, whose sum is σ = 19360373760. Its totient is φ = 1740963840.

The previous prime is 5966428151. The next prime is 5966428163. The reversal of 5966428160 is 618246695.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5966428163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126945257 + ... + 126945303.

It is an arithmetic number, because the mean of its divisors is an integer number (33611760).

Almost surely, 2^5966428160 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 5966428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9680186880).

5966428160 is an abundant number, since it is smaller than the sum of its proper divisors (13393945600).

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

5966428160 is a wasteful number, since it uses less digits than its factorization.

5966428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The square root of 5966428160 is about 77242.6576445943. The cubic root of 5966428160 is about 1813.7251364067.

The spelling of 5966428160 in words is "five billion, nine hundred sixty-six million, four hundred twenty-eight thousand, one hundred sixty".