49956018716160 has 960 divisors, whose sum is σ = 184595465134080. Its totient is φ = 12463284879360.

The previous prime is 49956018716143. The next prime is 49956018716167. The reversal of 49956018716160 is 6161781065994.

49956018716160 is a `hidden beast` number, since 4 + 9 + 9 + 5 + 6 + 0 + 1 + 8 + 7 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49956018716167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3648814915 + ... + 3648828605.

It is an arithmetic number, because the mean of its divisors is an integer number (192286942848).

Almost surely, 2^{49956018716160} is an apocalyptic number.

49956018716160 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 49956018716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92297732567040).

49956018716160 is an abundant number, since it is smaller than the sum of its proper divisors (134639446417920).

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

49956018716160 is a wasteful number, since it uses less digits than its factorization.

49956018716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13919 (or 13900 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 49956018716160 in words is "forty-nine trillion, nine hundred fifty-six billion, eighteen million, seven hundred sixteen thousand, one hundred sixty".