49851126466560 has 1920 divisors, whose sum is σ = 197180689305600. Its totient is φ = 11997922590720.

The previous prime is 49851126466549. The next prime is 49851126466567. The reversal of 49851126466560 is 6566462115894.

49851126466560 is a `hidden beast` number, since 4 + 9 + 8 + 5 + 1 + 1 + 2 + 6 + 4 + 66 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (49851126466567) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32732189959 + ... + 32732191481.

It is an arithmetic number, because the mean of its divisors is an integer number (102698275680).

Almost surely, 2^{49851126466560} is an apocalyptic number.

49851126466560 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 49851126466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98590344652800).

49851126466560 is an abundant number, since it is smaller than the sum of its proper divisors (147329562839040).

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

49851126466560 is a wasteful number, since it uses less digits than its factorization.

49851126466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 49851126466560 in words is "forty-nine trillion, eight hundred fifty-one billion, one hundred twenty-six million, four hundred sixty-six thousand, five hundred sixty".