49727289830400 has 5544 divisors, whose sum is σ = 239103722007360. Its totient is φ = 10153301114880.

The previous prime is 49727289830333. The next prime is 49727289830417. The reversal of 49727289830400 is 403898272794.

49727289830400 is a `hidden beast` number, since 4 + 9 + 7 + 2 + 72 + 89 + 83 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 558733593556 + ... + 558733593644.

Almost surely, 2^{49727289830400} is an apocalyptic number.

49727289830400 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 49727289830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119551861003680).

49727289830400 is an abundant number, since it is smaller than the sum of its proper divisors (189376432176960).

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

49727289830400 is a wasteful number, since it uses less digits than its factorization.

49727289830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 49727289830400 in words is "forty-nine trillion, seven hundred twenty-seven billion, two hundred eighty-nine million, eight hundred thirty thousand, four hundred".