49552588800 has 1152 divisors, whose sum is σ = 212975118720. Its totient is φ = 10852761600.

The previous prime is 49552588793. The next prime is 49552588819. The reversal of 49552588800 is 888525594.

It is a happy number.

49552588800 is a `hidden beast` number, since 4 + 9 + 5 + 52 + 588 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1054310377 + ... + 1054310423.

It is an arithmetic number, because the mean of its divisors is an integer number (184874235).

Almost surely, 2^49552588800 is an apocalyptic number.

49552588800 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 49552588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106487559360).

49552588800 is an abundant number, since it is smaller than the sum of its proper divisors (163422529920).

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

49552588800 is a wasteful number, since it uses less digits than its factorization.

49552588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 49552588800 in words is "forty-nine billion, five hundred fifty-two million, five hundred eighty-eight thousand, eight hundred".