49984484160 has 224 divisors, whose sum is σ = 175078778112. Its totient is φ = 12003655680.

The previous prime is 49984484089. The next prime is 49984484191. The reversal of 49984484160 is 6148448994.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 49984484160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462837 + ... + 560523.

It is an arithmetic number, because the mean of its divisors is an integer number (781601688).

Almost surely, 2^49984484160 is an apocalyptic number.

49984484160 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 49984484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87539389056).

49984484160 is an abundant number, since it is smaller than the sum of its proper divisors (125094293952).

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

49984484160 is a wasteful number, since it uses less digits than its factorization.

49984484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97761 (or 97751 counting only the distinct ones).

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

The spelling of 49984484160 in words is "forty-nine billion, nine hundred eighty-four million, four hundred eighty-four thousand, one hundred sixty".