5005627540 has 48 divisors (see below), whose sum is σ = 11016165888. Its totient is φ = 1906936064.

The previous prime is 5005627519. The next prime is 5005627541. The reversal of 5005627540 is 457265005.

It is a junction number, because it is equal to n+sod(n) for n = 5005627496 and 5005627505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005627541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83829 + ... + 130531.

It is an arithmetic number, because the mean of its divisors is an integer number (229503456).

Almost surely, 2^5005627540 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 5005627540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508082944).

5005627540 is an abundant number, since it is smaller than the sum of its proper divisors (6010538348).

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

5005627540 is a wasteful number, since it uses less digits than its factorization.

5005627540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46968 (or 46966 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 5005627540 is about 70750.4596451500. The cubic root of 5005627540 is about 1710.6172366804.

The spelling of 5005627540 in words is "five billion, five million, six hundred twenty-seven thousand, five hundred forty".