5144870160 has 240 divisors, whose sum is σ = 18447212160. Its totient is φ = 1281208320.

The previous prime is 5144870131. The next prime is 5144870167. The reversal of 5144870160 is 610784415.

It is a happy number.

5144870160 is a `hidden beast` number, since 5 + 14 + 487 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (5144870167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 968632 + ... + 973928.

It is an arithmetic number, because the mean of its divisors is an integer number (76863384).

Almost surely, 2^5144870160 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 5144870160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9223606080).

5144870160 is an abundant number, since it is smaller than the sum of its proper divisors (13302342000).

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

5144870160 is a wasteful number, since it uses less digits than its factorization.

5144870160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5406 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5144870160 is about 71727.7502783964. The cubic root of 5144870160 is about 1726.3339297787. Note that the first 3 decimals are identical.

The spelling of 5144870160 in words is "five billion, one hundred forty-four million, eight hundred seventy thousand, one hundred sixty".