49181353666560 has 1152 divisors, whose sum is σ = 187558369689600. Its totient is φ = 12325425315840.

The previous prime is 49181353666537. The next prime is 49181353666597. The reversal of 49181353666560 is 6566635318194.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6004312065 + ... + 6004320255.

It is an arithmetic number, because the mean of its divisors is an integer number (162811084800).

Almost surely, 2^{49181353666560} is an apocalyptic number.

49181353666560 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 49181353666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93779184844800).

49181353666560 is an abundant number, since it is smaller than the sum of its proper divisors (138377016023040).

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

49181353666560 is a wasteful number, since it uses less digits than its factorization.

49181353666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8379 (or 8347 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 49181353666560 in words is "forty-nine trillion, one hundred eighty-one billion, three hundred fifty-three million, six hundred sixty-six thousand, five hundred sixty".