5385144672 has 288 divisors, whose sum is σ = 16816494240. Its totient is φ = 1627914240.

The previous prime is 5385144671. The next prime is 5385144679. The reversal of 5385144672 is 2764415835.

5385144672 is a `hidden beast` number, since 538 + 5 + 1 + 4 + 46 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5385144671) 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, 27902208 + ... + 27902400.

It is an arithmetic number, because the mean of its divisors is an integer number (58390605).

Almost surely, 2^5385144672 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 5385144672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8408247120).

5385144672 is an abundant number, since it is smaller than the sum of its proper divisors (11431349568).

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

5385144672 is a wasteful number, since it uses less digits than its factorization.

5385144672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 5385144672 is about 73383.5449675198. The cubic root of 5385144672 is about 1752.8003786564.

It can be divided in two parts, 53 and 85144672, that added together give a triangular number (85144725 = T₁₃₀₄₉).

The spelling of 5385144672 in words is "five billion, three hundred eighty-five million, one hundred forty-four thousand, six hundred seventy-two".