49677236011200 has 1344 divisors, whose sum is σ = 202170479689728. Its totient is φ = 10419668582400.

The previous prime is 49677236011121. The next prime is 49677236011213. The reversal of 49677236011200 is 211063277694.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49677236011200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16972064137 + ... + 16972067063.

Almost surely, 2^{49677236011200} is an apocalyptic number.

49677236011200 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 49677236011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101085239844864).

49677236011200 is an abundant number, since it is smaller than the sum of its proper divisors (152493243678528).

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

49677236011200 is a wasteful number, since it uses less digits than its factorization.

49677236011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

Adding to 49677236011200 its reverse (211063277694), we get a palindrome (49888299288894).

The spelling of 49677236011200 in words is "forty-nine trillion, six hundred seventy-seven billion, two hundred thirty-six million, eleven thousand, two hundred".