49858588560 has 480 divisors, whose sum is σ = 185638118400. Its totient is φ = 10947087360.

The previous prime is 49858588531. The next prime is 49858588561. The reversal of 49858588560 is 6588585894.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 49858588491 and 49858588500.

It is not an unprimeable number, because it can be changed into a prime (49858588561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26533701 + ... + 26535579.

It is an arithmetic number, because the mean of its divisors is an integer number (386746080).

Almost surely, 2^49858588560 is an apocalyptic number.

49858588560 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 49858588560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92819059200).

49858588560 is an abundant number, since it is smaller than the sum of its proper divisors (135779529840).

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

49858588560 is a wasteful number, since it uses less digits than its factorization.

49858588560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 66.

The spelling of 49858588560 in words is "forty-nine billion, eight hundred fifty-eight million, five hundred eighty-eight thousand, five hundred sixty".