49666828800 has 240 divisors, whose sum is σ = 166391260992. Its totient is φ = 13057228800.

The previous prime is 49666828793. The next prime is 49666828807. The reversal of 49666828800 is 882866694.

It is an interprime number because it is at equal distance from previous prime (49666828793) and next prime (49666828807).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (49666828807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2717292 + ... + 2735508.

Almost surely, 2^49666828800 is an apocalyptic number.

49666828800 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 49666828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83195630496).

49666828800 is an abundant number, since it is smaller than the sum of its proper divisors (116724432192).

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

49666828800 is a wasteful number, since it uses less digits than its factorization.

49666828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18319 (or 18298 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 49666828800 in words is "forty-nine billion, six hundred sixty-six million, eight hundred twenty-eight thousand, eight hundred".