49055788800000 has 1728 divisors, whose sum is σ = 185565333058560. Its totient is φ = 12469248000000.

The previous prime is 49055788799933. The next prime is 49055788800001. The reversal of 49055788800000 is 888755094.

49055788800000 is a `hidden beast` number, since 4 + 9 + 0 + 557 + 8 + 8 + 80 + 0 + 0 + 0 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 49055788800000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49055788800001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148204799835 + ... + 148204800165.

It is an arithmetic number, because the mean of its divisors is an integer number (107387345520).

Almost surely, 2^{49055788800000} is an apocalyptic number.

49055788800000 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 49055788800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92782666529280).

49055788800000 is an abundant number, since it is smaller than the sum of its proper divisors (136509544258560).

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

49055788800000 is an equidigital number, since it uses as much as digits as its factorization.

49055788800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 49055788800000 in words is "forty-nine trillion, fifty-five billion, seven hundred eighty-eight million, eight hundred thousand".