49963627284480 has 2304 divisors, whose sum is σ = 230743104883200. Its totient is φ = 9985130496000.

The previous prime is 49963627284419. The next prime is 49963627284497. The reversal of 49963627284480 is 8448272636994.

49963627284480 is a `hidden beast` number, since 4 + 9 + 9 + 6 + 3 + 62 + 7 + 2 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 49963627284399 and 49963627284408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9082641730 + ... + 9082647230.

It is an arithmetic number, because the mean of its divisors is an integer number (100148917050).

Almost surely, 2^{49963627284480} is an apocalyptic number.

49963627284480 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 49963627284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115371552441600).

49963627284480 is an abundant number, since it is smaller than the sum of its proper divisors (180779477598720).

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

49963627284480 is a wasteful number, since it uses less digits than its factorization.

49963627284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 49963627284480 in words is "forty-nine trillion, nine hundred sixty-three billion, six hundred twenty-seven million, two hundred eighty-four thousand, four hundred eighty".