5431152384 has 720 divisors, whose sum is σ = 20514041856. Its totient is φ = 1393459200.

The previous prime is 5431152379. The next prime is 5431152437. The reversal of 5431152384 is 4832511345.

5431152384 is a `hidden beast` number, since 5 + 43 + 11 + 523 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76495069 + ... + 76495139.

Almost surely, 2^5431152384 is an apocalyptic number.

5431152384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5431152384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10257020928).

5431152384 is an abundant number, since it is smaller than the sum of its proper divisors (15082889472).

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

5431152384 is a wasteful number, since it uses less digits than its factorization.

5431152384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5431152384 is about 73696.3525827432. The cubic root of 5431152384 is about 1757.7778843189. Note that the first 3 decimals are identical.

The spelling of 5431152384 in words is "five billion, four hundred thirty-one million, one hundred fifty-two thousand, three hundred eighty-four".