49909804259328 has 3072 divisors, whose sum is σ = 185737312051200. Its totient is φ = 13079937024000.

The previous prime is 49909804259279. The next prime is 49909804259333. The reversal of 49909804259328 is 82395240890994.

49909804259328 is a `hidden beast` number, since 4 + 9 + 9 + 0 + 9 + 8 + 0 + 4 + 2 + 593 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×49909804259328² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 702954989533 + ... + 702954989603.

It is an arithmetic number, because the mean of its divisors is an integer number (60461364600).

Almost surely, 2^{49909804259328} is an apocalyptic number.

49909804259328 is a gapful number since it is divisible by the number (48) 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 49909804259328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92868656025600).

49909804259328 is an abundant number, since it is smaller than the sum of its proper divisors (135827507791872).

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

49909804259328 is a wasteful number, since it uses less digits than its factorization.

49909804259328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 49909804259328 in words is "forty-nine trillion, nine hundred nine billion, eight hundred four million, two hundred fifty-nine thousand, three hundred twenty-eight".