5460166800 has 960 divisors, whose sum is σ = 23248512000. Its totient is φ = 1202688000.

The previous prime is 5460166717. The next prime is 5460166801. The reversal of 5460166800 is 86610645.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5460166801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92545171 + ... + 92545229.

It is an arithmetic number, because the mean of its divisors is an integer number (24217200).

Almost surely, 2^5460166800 is an apocalyptic number.

5460166800 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 5460166800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624256000).

5460166800 is an abundant number, since it is smaller than the sum of its proper divisors (17788345200).

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

5460166800 is a wasteful number, since it uses less digits than its factorization.

5460166800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5460166800 is about 73892.9414761654. The cubic root of 5460166800 is about 1760.9024727673.

The spelling of 5460166800 in words is "five billion, four hundred sixty million, one hundred sixty-six thousand, eight hundred".