5145813585024 has 256 divisors, whose sum is σ = 15973493760000. Its totient is φ = 1467145085952.

The previous prime is 5145813585001. The next prime is 5145813585103. The reversal of 5145813585024 is 4205853185415.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63049267 + ... + 63130829.

It is an arithmetic number, because the mean of its divisors is an integer number (62396460000).

Almost surely, 2^{5145813585024} 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 5145813585024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7986746880000).

5145813585024 is an abundant number, since it is smaller than the sum of its proper divisors (10827680174976).

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

5145813585024 is an equidigital number, since it uses as much as digits as its factorization.

5145813585024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82080 (or 82054 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 51.

The spelling of 5145813585024 in words is "five trillion, one hundred forty-five billion, eight hundred thirteen million, five hundred eighty-five thousand, twenty-four".