5058000640 has 576 divisors, whose sum is σ = 16553456640. Its totient is φ = 1433272320.

The previous prime is 5058000617. The next prime is 5058000653. The reversal of 5058000640 is 460008505.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5058000599 and 5058000608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69287644 + ... + 69287716.

It is an arithmetic number, because the mean of its divisors is an integer number (28738640).

Almost surely, 2^5058000640 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 5058000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8276728320).

5058000640 is an abundant number, since it is smaller than the sum of its proper divisors (11495456000).

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

5058000640 is a wasteful number, since it uses less digits than its factorization.

5058000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 5058000640 is about 71119.6220462398. The cubic root of 5058000640 is about 1716.5625235258.

The spelling of 5058000640 in words is "five billion, fifty-eight million, six hundred forty", and thus it is an aban number.