49989825475200 has 1344 divisors, whose sum is σ = 199812801396600. Its totient is φ = 12279321722880.

The previous prime is 49989825475189. The next prime is 49989825475207. The reversal of 49989825475200 is 257452898994.

49989825475200 is a `hidden beast` number, since 4 + 9 + 9 + 8 + 98 + 2 + 5 + 4 + 7 + 520 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 5853573781056 + 44136251694144 = 2419416^2 + 6643512^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (49989825475207) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 17255720152 + ... + 17255723048.

Almost surely, 2^{49989825475200} is an apocalyptic number.

49989825475200 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 49989825475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99906400698300).

49989825475200 is an abundant number, since it is smaller than the sum of its proper divisors (149822975921400).

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

49989825475200 is a wasteful number, since it uses less digits than its factorization.

49989825475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 49989825475200 in words is "forty-nine trillion, nine hundred eighty-nine billion, eight hundred twenty-five million, four hundred seventy-five thousand, two hundred".