5123648040 has 128 divisors (see below), whose sum is σ = 17581536000. Its totient is φ = 1170137088.

The previous prime is 5123648029. The next prime is 5123648041. The reversal of 5123648040 is 408463215.

It is a junction number, because it is equal to n+sod(n) for n = 5123647992 and 5123648010.

It is not an unprimeable number, because it can be changed into a prime (5123648041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1585146 + ... + 1588374.

It is an arithmetic number, because the mean of its divisors is an integer number (137355750).

Almost surely, 2^5123648040 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 5123648040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8790768000).

5123648040 is an abundant number, since it is smaller than the sum of its proper divisors (12457887960).

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

5123648040 is a wasteful number, since it uses less digits than its factorization.

5123648040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5123648040 is about 71579.6621953471. The cubic root of 5123648040 is about 1723.9570019225.

The spelling of 5123648040 in words is "five billion, one hundred twenty-three million, six hundred forty-eight thousand, forty".