49508096463360 has 960 divisors, whose sum is σ = 177015520281600. Its totient is φ = 12782257864704.

The previous prime is 49508096463341. The next prime is 49508096463389. The reversal of 49508096463360 is 6336469080594.

It is a happy number.

49508096463360 is a `hidden beast` number, since 4 + 9 + 5 + 0 + 80 + 96 + 463 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59008457821 + ... + 59008458659.

It is an arithmetic number, because the mean of its divisors is an integer number (184391166960).

Almost surely, 2^{49508096463360} is an apocalyptic number.

49508096463360 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 49508096463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88507760140800).

49508096463360 is an abundant number, since it is smaller than the sum of its proper divisors (127507423818240).

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

49508096463360 is a wasteful number, since it uses less digits than its factorization.

49508096463360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 49508096463360 in words is "forty-nine trillion, five hundred eight billion, ninety-six million, four hundred sixty-three thousand, three hundred sixty".