5028602745600 has 648 divisors, whose sum is σ = 21628170986240. Its totient is φ = 1088898785280.

The previous prime is 5028602745527. The next prime is 5028602745601. The reversal of 5028602745600 is 65472068205.

5028602745600 is a `hidden beast` number, since 5 + 0 + 2 + 8 + 60 + 27 + 4 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5028602745601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7332597 + ... + 7989003.

Almost surely, 2^{5028602745600} is an apocalyptic number.

5028602745600 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 5028602745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10814085493120).

5028602745600 is an abundant number, since it is smaller than the sum of its proper divisors (16599568240640).

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

5028602745600 is a wasteful number, since it uses less digits than its factorization.

5028602745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656465 (or 656443 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5028602745600 in words is "five trillion, twenty-eight billion, six hundred two million, seven hundred forty-five thousand, six hundred".