5058328836000 has 384 divisors, whose sum is σ = 18237579639552. Its totient is φ = 1215406080000.

The previous prime is 5058328835981. The next prime is 5058328836007. The reversal of 5058328836000 is 6388238505.

It is a super-2 number, since 2×5058328836000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5058328836007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14746440 + ... + 15085560.

It is an arithmetic number, because the mean of its divisors is an integer number (47493696978).

Almost surely, 2^{5058328836000} is an apocalyptic number.

5058328836000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5058328836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9118789819776).

5058328836000 is an abundant number, since it is smaller than the sum of its proper divisors (13179250803552).

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

5058328836000 is a wasteful number, since it uses less digits than its factorization.

5058328836000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339273 (or 339255 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 5058328836000 in words is "five trillion, fifty-eight billion, three hundred twenty-eight million, eight hundred thirty-six thousand".