5069882689600 has 189 divisors, whose sum is σ = 12584849314503. Its totient is φ = 2010264192000.

The previous prime is 5069882689583. The next prime is 5069882689631. The reversal of 5069882689600 is 69862889605.

The square root of 5069882689600 is 2251640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2720995407936 + 2348887281664 = 1649544^2 + 1532608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16301873445 + ... + 16301873755.

Almost surely, 2^{5069882689600} is an apocalyptic number.

5069882689600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5069882689600 is the 2251640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5069882689600

5069882689600 is an abundant number, since it is smaller than the sum of its proper divisors (7514966624903).

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

5069882689600 is an frugal number, since it uses more digits than its factorization.

5069882689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 67.

The spelling of 5069882689600 in words is "five trillion, sixty-nine billion, eight hundred eighty-two million, six hundred eighty-nine thousand, six hundred".