49305880496160 has 384 divisors, whose sum is σ = 172857624549120. Its totient is φ = 13126385664000.

The previous prime is 49305880496153. The next prime is 49305880496161. The reversal of 49305880496160 is 6169408850394.

49305880496160 is a `hidden beast` number, since 4 + 9 + 3 + 0 + 5 + 8 + 8 + 0 + 4 + 9 + 616 + 0 = 666.

49305880496160 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×49305880496160³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (49305880496161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7825085010 + ... + 7825091310.

It is an arithmetic number, because the mean of its divisors is an integer number (450150063930).

Almost surely, 2^{49305880496160} is an apocalyptic number.

49305880496160 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 49305880496160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86428812274560).

49305880496160 is an abundant number, since it is smaller than the sum of its proper divisors (123551744052960).

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

49305880496160 is a wasteful number, since it uses less digits than its factorization.

49305880496160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9049 (or 9035 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 49305880496160 in words is "forty-nine trillion, three hundred five billion, eight hundred eighty million, four hundred ninety-six thousand, one hundred sixty".