49912275271680 has 756 divisors, whose sum is σ = 179798804777592. Its totient is φ = 13300767129600.

The previous prime is 49912275271679. The next prime is 49912275271759. The reversal of 49912275271680 is 8617257221994.

49912275271680 is a `hidden beast` number, since 4 + 9 + 9 + 1 + 2 + 27 + 527 + 1 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34398534955 + ... + 34398536405.

Almost surely, 2^{49912275271680} is an apocalyptic number.

49912275271680 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 49912275271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89899402388796).

49912275271680 is an abundant number, since it is smaller than the sum of its proper divisors (129886529505912).

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

49912275271680 is an frugal number, since it uses more digits than its factorization.

49912275271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 49912275271680 in words is "forty-nine trillion, nine hundred twelve billion, two hundred seventy-five million, two hundred seventy-one thousand, six hundred eighty".