49927281418080 has 576 divisors, whose sum is σ = 192900445133760. Its totient is φ = 12051607265280.

The previous prime is 49927281418073. The next prime is 49927281418117. The reversal of 49927281418080 is 8081418272994.

49927281418080 is a `hidden beast` number, since 49 + 9 + 27 + 2 + 81 + 418 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49927281417999 and 49927281418017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121588794 + ... + 121998726.

It is an arithmetic number, because the mean of its divisors is an integer number (334896606135).

Almost surely, 2^{49927281418080} is an apocalyptic number.

49927281418080 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 49927281418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96450222566880).

49927281418080 is an abundant number, since it is smaller than the sum of its proper divisors (142973163715680).

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

49927281418080 is a wasteful number, since it uses less digits than its factorization.

49927281418080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410212 (or 410187 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 49927281418080 in words is "forty-nine trillion, nine hundred twenty-seven billion, two hundred eighty-one million, four hundred eighteen thousand, eighty".