5058275040 has 480 divisors, whose sum is σ = 21976194240. Its totient is φ = 1066991616.

The previous prime is 5058275009. The next prime is 5058275041. The reversal of 5058275040 is 405728505.

It is a happy number.

5058275040 is a `hidden beast` number, since 5 + 0 + 582 + 75 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5058275040² = 51172292760574003200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5058274986 and 5058275004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5058275041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1177216 + ... + 1181504.

It is an arithmetic number, because the mean of its divisors is an integer number (45783738).

Almost surely, 2^5058275040 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 5058275040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10988097120).

5058275040 is an abundant number, since it is smaller than the sum of its proper divisors (16917919200).

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

5058275040 is a wasteful number, since it uses less digits than its factorization.

5058275040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 5058275040 is about 71121.5511641865. The cubic root of 5058275040 is about 1716.5935645288.

The spelling of 5058275040 in words is "five billion, fifty-eight million, two hundred seventy-five thousand, forty".