5349144960 has 512 divisors, whose sum is σ = 20292940800. Its totient is φ = 1328431104.

The previous prime is 5349144929. The next prime is 5349144967. The reversal of 5349144960 is 694419435.

5349144960 is a `hidden beast` number, since 534 + 9 + 14 + 49 + 60 = 666.

It is a super-2 number, since 2×5349144960² = 57226703606186803200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5349144967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17089764 + ... + 17090076.

It is an arithmetic number, because the mean of its divisors is an integer number (39634650).

Almost surely, 2^5349144960 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 5349144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10146470400).

5349144960 is an abundant number, since it is smaller than the sum of its proper divisors (14943795840).

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

5349144960 is a wasteful number, since it uses less digits than its factorization.

5349144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5349144960 is about 73137.8490249748. The cubic root of 5349144960 is about 1748.8858170355.

The spelling of 5349144960 in words is "five billion, three hundred forty-nine million, one hundred forty-four thousand, nine hundred sixty".