5012830173600 has 576 divisors, whose sum is σ = 18428244266880. Its totient is φ = 1314806169600.

The previous prime is 5012830173587. The next prime is 5012830173623. The reversal of 5012830173600 is 63710382105.

5012830173600 is a `hidden beast` number, since 5 + 0 + 1 + 2 + 8 + 30 + 17 + 3 + 600 = 666.

It is a super-2 number, since 2×5012830173600² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1118683360 + ... + 1118687840.

It is an arithmetic number, because the mean of its divisors is an integer number (31993479630).

Almost surely, 2^{5012830173600} is an apocalyptic number.

5012830173600 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 5012830173600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9214122133440).

5012830173600 is an abundant number, since it is smaller than the sum of its proper divisors (13415414093280).

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

5012830173600 is a wasteful number, since it uses less digits than its factorization.

5012830173600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5350 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 5012830173600 in words is "five trillion, twelve billion, eight hundred thirty million, one hundred seventy-three thousand, six hundred".