49884169115200 has 672 divisors, whose sum is σ = 144561524041728. Its totient is φ = 16590292992000.

The previous prime is 49884169115111. The next prime is 49884169115201. The reversal of 49884169115200 is 251196148894.

It is not an unprimeable number, because it can be changed into a prime (49884169115201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31753130415 + ... + 31753131985.

Almost surely, 2^{49884169115200} is an apocalyptic number.

49884169115200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49884169115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72280762020864).

49884169115200 is an abundant number, since it is smaller than the sum of its proper divisors (94677354926528).

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

49884169115200 is a wasteful number, since it uses less digits than its factorization.

49884169115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 58.

The spelling of 49884169115200 in words is "forty-nine trillion, eight hundred eighty-four billion, one hundred sixty-nine million, one hundred fifteen thousand, two hundred".