49850298960 has 720 divisors, whose sum is σ = 203144158656. Its totient is φ = 9999360000.

The previous prime is 49850298947. The next prime is 49850298961. The reversal of 49850298960 is 6989205894.

49850298960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 49850298894 and 49850298903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49850298961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124314760 + ... + 124315160.

Almost surely, 2^49850298960 is an apocalyptic number.

49850298960 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 49850298960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101572079328).

49850298960 is an abundant number, since it is smaller than the sum of its proper divisors (153293859696).

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

49850298960 is a wasteful number, since it uses less digits than its factorization.

49850298960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 49850298960 in words is "forty-nine billion, eight hundred fifty million, two hundred ninety-eight thousand, nine hundred sixty".