5465180160 has 480 divisors, whose sum is σ = 21405384000. Its totient is φ = 1322680320.

The previous prime is 5465180153. The next prime is 5465180221. The reversal of 5465180160 is 610815645.

5465180160 is a `hidden beast` number, since 5 + 465 + 180 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9123541 + ... + 9124139.

It is an arithmetic number, because the mean of its divisors is an integer number (44594550).

Almost surely, 2^5465180160 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 5465180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702692000).

5465180160 is an abundant number, since it is smaller than the sum of its proper divisors (15940203840).

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

5465180160 is a wasteful number, since it uses less digits than its factorization.

5465180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5465180160 is about 73926.8568248373. The cubic root of 5465180160 is about 1761.4412437024.

The spelling of 5465180160 in words is "five billion, four hundred sixty-five million, one hundred eighty thousand, one hundred sixty".