5193157824 has 336 divisors, whose sum is σ = 16813255680. Its totient is φ = 1522851840.

The previous prime is 5193157817. The next prime is 5193157891. The reversal of 5193157824 is 4287513915.

5193157824 is a `hidden beast` number, since 51 + 9 + 3 + 1 + 578 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5193157824.

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 47 ways as a sum of consecutive naturals, for example, 19162809 + ... + 19163079.

Almost surely, 2^5193157824 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 5193157824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8406627840).

5193157824 is an abundant number, since it is smaller than the sum of its proper divisors (11620097856).

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

5193157824 is a wasteful number, since it uses less digits than its factorization.

5193157824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 415 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 5193157824 is about 72063.5679383140. The cubic root of 5193157824 is about 1731.7180104395.

The spelling of 5193157824 in words is "five billion, one hundred ninety-three million, one hundred fifty-seven thousand, eight hundred twenty-four".