49080775606272 has 360 divisors, whose sum is σ = 147451747575132. Its totient is φ = 16269233356800.

The previous prime is 49080775606249. The next prime is 49080775606363. The reversal of 49080775606272 is 27260657708094.

49080775606272 is a `hidden beast` number, since 4 + 9 + 0 + 8 + 0 + 7 + 7 + 560 + 62 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42785413595136 + 6295362011136 = 6541056^2 + 2509056^2 .

It is a super-2 number, since 2×49080775606272² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1921633822 + ... + 1921659362.

Almost surely, 2^{49080775606272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49080775606272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73725873787566).

49080775606272 is an abundant number, since it is smaller than the sum of its proper divisors (98370971968860).

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

49080775606272 is an frugal number, since it uses more digits than its factorization.

49080775606272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25768 (or 25727 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 49080775606272 in words is "forty-nine trillion, eighty billion, seven hundred seventy-five million, six hundred six thousand, two hundred seventy-two".