5020646862400 has 567 divisors, whose sum is σ = 13922938528083. Its totient is φ = 1781071718400.

The previous prime is 5020646862383. The next prime is 5020646862449. The reversal of 5020646862400 is 42686460205.

The square root of 5020646862400 is 2240680.

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 1294079155776 + 3726567706624 = 1137576^2 + 1930432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36119761531 + ... + 36119761669.

Almost surely, 2^{5020646862400} is an apocalyptic number.

5020646862400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5020646862400 is the 2240680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5020646862400

5020646862400 is an abundant number, since it is smaller than the sum of its proper divisors (8902291665683).

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

5020646862400 is a wasteful number, since it uses less digits than its factorization.

5020646862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 5020646862400 in words is "five trillion, twenty billion, six hundred forty-six million, eight hundred sixty-two thousand, four hundred".