49752272275002 has 192 divisors, whose sum is σ = 123064574330880. Its totient is φ = 14938938604800.

The previous prime is 49752272274997. The next prime is 49752272275103. The reversal of 49752272275002 is 20057227225794.

49752272275002 is a `hidden beast` number, since 4 + 97 + 5 + 2 + 27 + 2 + 27 + 500 + 2 = 666.

49752272275002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 49752272275002.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2773404949 + ... + 2773422887.

It is an arithmetic number, because the mean of its divisors is an integer number (640961324640).

Almost surely, 2^{49752272275002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49752272275002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61532287165440).

49752272275002 is an abundant number, since it is smaller than the sum of its proper divisors (73312302055878).

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

49752272275002 is a wasteful number, since it uses less digits than its factorization.

49752272275002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22671 (or 22659 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 49752272275002 in words is "forty-nine trillion, seven hundred fifty-two billion, two hundred seventy-two million, two hundred seventy-five thousand, two".