49586383897600 has 297 divisors, whose sum is σ = 135137798691343. Its totient is φ = 18026905600000.

The previous prime is 49586383897573. The next prime is 49586383897619. The reversal of 49586383897600 is 679838368594.

The square root of 49586383897600 is 7041760.

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 21841639638016 + 27744744259584 = 4673504^2 + 5267328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12393495600 + ... + 12393499600.

Almost surely, 2^{49586383897600} is an apocalyptic number.

49586383897600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49586383897600 is the 7041760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49586383897600

49586383897600 is an abundant number, since it is smaller than the sum of its proper divisors (85551414793743).

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

49586383897600 is an frugal number, since it uses more digits than its factorization.

49586383897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8054 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 76.

The spelling of 49586383897600 in words is "forty-nine trillion, five hundred eighty-six billion, three hundred eighty-three million, eight hundred ninety-seven thousand, six hundred".