49807481751072 has 864 divisors, whose sum is σ = 157032462839616. Its totient is φ = 15520226641920.

The previous prime is 49807481751043. The next prime is 49807481751133. The reversal of 49807481751072 is 27015718470894.

49807481751072 is a `hidden beast` number, since 4 + 9 + 8 + 0 + 7 + 48 + 1 + 7 + 510 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26535684598 + ... + 26535686474.

It is an arithmetic number, because the mean of its divisors is an integer number (181750535694).

Almost surely, 2^{49807481751072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49807481751072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78516231419808).

49807481751072 is an abundant number, since it is smaller than the sum of its proper divisors (107224981088544).

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

49807481751072 is a wasteful number, since it uses less digits than its factorization.

49807481751072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 49807481751072 in words is "forty-nine trillion, eight hundred seven billion, four hundred eighty-one million, seven hundred fifty-one thousand, seventy-two".