49735272368320 has 1792 divisors, whose sum is σ = 163413468610560. Its totient is φ = 13949868441600.

The previous prime is 49735272368317. The next prime is 49735272368321. The reversal of 49735272368320 is 2386327253794.

49735272368320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49735272368321) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 219098116047 + ... + 219098116273.

It is an arithmetic number, because the mean of its divisors is an integer number (91190551680).

Almost surely, 2^{49735272368320} is an apocalyptic number.

49735272368320 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 49735272368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81706734305280).

49735272368320 is an abundant number, since it is smaller than the sum of its proper divisors (113678196242240).

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

49735272368320 is a wasteful number, since it uses less digits than its factorization.

49735272368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 61.

The spelling of 49735272368320 in words is "forty-nine trillion, seven hundred thirty-five billion, two hundred seventy-two million, three hundred sixty-eight thousand, three hundred twenty".