5144993280 has 960 divisors, whose sum is σ = 22674263040. Its totient is φ = 1051066368.

The previous prime is 5144993279. The next prime is 5144993309. The reversal of 5144993280 is 823994415.

5144993280 is a `hidden beast` number, since 51 + 4 + 499 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 70479324 + ... + 70479396.

It is an arithmetic number, because the mean of its divisors is an integer number (23619024).

Almost surely, 2^5144993280 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 5144993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11337131520).

5144993280 is an abundant number, since it is smaller than the sum of its proper divisors (17529269760).

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

5144993280 is a wasteful number, since it uses less digits than its factorization.

5144993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5144993280 is about 71728.6085184984. The cubic root of 5144993280 is about 1726.3477004235.

The spelling of 5144993280 in words is "five billion, one hundred forty-four million, nine hundred ninety-three thousand, two hundred eighty".