50782441392400 has 135 divisors (see below), whose sum is σ = 122414685277989. Its totient is φ = 20244964295040.

The previous prime is 50782441392383. The next prime is 50782441392439. The reversal of 50782441392400 is 429314428705.

The square root of 50782441392400 is 7126180.

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

It can be written as a sum of positive squares in only one way, i.e., 18281678901264 + 32500762491136 = 4275708^2 + 5700944^2 .

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, 83661352897 + ... + 83661353503.

Almost surely, 2^{50782441392400} is an apocalyptic number.

50782441392400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50782441392400 is the 7126180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50782441392400

50782441392400 is an abundant number, since it is smaller than the sum of its proper divisors (71632243885589).

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

50782441392400 is an frugal number, since it uses more digits than its factorization.

50782441392400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The spelling of 50782441392400 in words is "fifty trillion, seven hundred eighty-two billion, four hundred forty-one million, three hundred ninety-two thousand, four hundred".