5165940162240 has 1120 divisors, whose sum is σ = 22285680721920. Its totient is φ = 1118698905600.

The previous prime is 5165940162221. The next prime is 5165940162281. The reversal of 5165940162240 is 422610495615.

5165940162240 is a `hidden beast` number, since 5 + 1 + 6 + 594 + 0 + 16 + 2 + 2 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 114880881 + ... + 114925839.

It is an arithmetic number, because the mean of its divisors is an integer number (19897929216).

Almost surely, 2^{5165940162240} 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 5165940162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11142840360960).

5165940162240 is an abundant number, since it is smaller than the sum of its proper divisors (17119740559680).

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

5165940162240 is a wasteful number, since it uses less digits than its factorization.

5165940162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45043 (or 45024 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5165940162240 in words is "five trillion, one hundred sixty-five billion, nine hundred forty million, one hundred sixty-two thousand, two hundred forty".