49661178400800 has 1728 divisors, whose sum is σ = 193854408523776. Its totient is φ = 11921391820800.

The previous prime is 49661178400787. The next prime is 49661178400807. The reversal of 49661178400800 is 800487116694.

49661178400800 is a `hidden beast` number, since 4 + 9 + 6 + 61 + 178 + 400 + 8 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (49661178400807) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 81013341294 + ... + 81013341906.

It is an arithmetic number, because the mean of its divisors is an integer number (112184264192).

Almost surely, 2^{49661178400800} is an apocalyptic number.

49661178400800 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 49661178400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96927204261888).

49661178400800 is an abundant number, since it is smaller than the sum of its proper divisors (144193230122976).

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

49661178400800 is a wasteful number, since it uses less digits than its factorization.

49661178400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 49661178400800 in words is "forty-nine trillion, six hundred sixty-one billion, one hundred seventy-eight million, four hundred thousand, eight hundred".