49547550648960 has 1920 divisors, whose sum is σ = 234706956477840. Its totient is φ = 9838936719360.

The previous prime is 49547550648929. The next prime is 49547550648979. The reversal of 49547550648960 is 6984605574594.

49547550648960 is a `hidden beast` number, since 4 + 9 + 5 + 4 + 7 + 550 + 6 + 4 + 8 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5762649904704 + 43784900744256 = 2400552^2 + 6617016^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×49547550648960² (a number of 28 digits) contains 22 as substring.

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

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 239 ways as a sum of consecutive naturals, for example, 561331230 + ... + 561419490.

Almost surely, 2^{49547550648960} is an apocalyptic number.

49547550648960 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 49547550648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117353478238920).

49547550648960 is an abundant number, since it is smaller than the sum of its proper divisors (185159405828880).

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

49547550648960 is a wasteful number, since it uses less digits than its factorization.

49547550648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88336 (or 88308 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 49547550648960 in words is "forty-nine trillion, five hundred forty-seven billion, five hundred fifty million, six hundred forty-eight thousand, nine hundred sixty".