49871858416200 has 72 divisors (see below), whose sum is σ = 167486324520450. Its totient is φ = 13299162243840.

The previous prime is 49871858416169. The next prime is 49871858416207. The reversal of 49871858416200 is 261485817894.

49871858416200 is a `hidden beast` number, since 4 + 9 + 8 + 7 + 1 + 8 + 5 + 8 + 416 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36159367986756 + 13712490429444 = 6013266^2 + 3703038^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (49871858416207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13853292205 + ... + 13853295804.

Almost surely, 2^{49871858416200} is an apocalyptic number.

49871858416200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49871858416200 is an abundant number, since it is smaller than the sum of its proper divisors (117614466104250).

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

49871858416200 is a wasteful number, since it uses less digits than its factorization.

49871858416200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27706588031 (or 27706588019 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 49871858416200 in words is "forty-nine trillion, eight hundred seventy-one billion, eight hundred fifty-eight million, four hundred sixteen thousand, two hundred".