49894542604800 has 480 divisors, whose sum is σ = 193910026464000. Its totient is φ = 12522550394880.

The previous prime is 49894542604789. The next prime is 49894542604807. The reversal of 49894542604800 is 840624549894.

49894542604800 is a `hidden beast` number, since 4 + 9 + 8 + 9 + 4 + 542 + 6 + 0 + 4 + 80 + 0 = 666.

49894542604800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×49894542604800³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (49894542604807) 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 47 ways as a sum of consecutive naturals, for example, 1629001 + ... + 10121399.

It is an arithmetic number, because the mean of its divisors is an integer number (403979221800).

Almost surely, 2^{49894542604800} is an apocalyptic number.

49894542604800 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 49894542604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96955013232000).

49894542604800 is an abundant number, since it is smaller than the sum of its proper divisors (144015483859200).

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

49894542604800 is a wasteful number, since it uses less digits than its factorization.

49894542604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8492453 (or 8492426 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 49894542604800 in words is "forty-nine trillion, eight hundred ninety-four billion, five hundred forty-two million, six hundred four thousand, eight hundred".