49608027389952 has 480 divisors, whose sum is σ = 149638500648000. Its totient is φ = 16442500055040.

The previous prime is 49608027389941. The next prime is 49608027389957. The reversal of 49608027389952 is 25998372080694.

49608027389952 is a `hidden beast` number, since 4 + 9 + 60 + 80 + 27 + 389 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49608027389957) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6485553424 + ... + 6485561072.

It is an arithmetic number, because the mean of its divisors is an integer number (311746876350).

Almost surely, 2^{49608027389952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49608027389952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74819250324000).

49608027389952 is an abundant number, since it is smaller than the sum of its proper divisors (100030473258048).

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

49608027389952 is an frugal number, since it uses more digits than its factorization.

49608027389952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7879 (or 7835 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 49608027389952 in words is "forty-nine trillion, six hundred eight billion, twenty-seven million, three hundred eighty-nine thousand, nine hundred fifty-two".