49803586560 has 1408 divisors, whose sum is σ = 225815869440. Its totient is φ = 10128457728.

The previous prime is 49803586531. The next prime is 49803586577. The reversal of 49803586560 is 6568530894.

It is a happy number.

49803586560 is a `hidden beast` number, since 4 + 9 + 8 + 0 + 3 + 586 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 49803586497 and 49803586506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 465454027 + ... + 465454133.

Almost surely, 2^49803586560 is an apocalyptic number.

49803586560 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 49803586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112907934720).

49803586560 is an abundant number, since it is smaller than the sum of its proper divisors (176012282880).

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

49803586560 is a wasteful number, since it uses less digits than its factorization.

49803586560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 49803586560 in words is "forty-nine billion, eight hundred three million, five hundred eighty-six thousand, five hundred sixty".