49049516880 has 1440 divisors, whose sum is σ = 225893041920. Its totient is φ = 9256550400.

The previous prime is 49049516869. The next prime is 49049516933. The reversal of 49049516880 is 8861594094.

49049516880 is a `hidden beast` number, since 4 + 9 + 0 + 49 + 516 + 8 + 80 = 666.

49049516880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49049516880² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1196329660 + ... + 1196329700.

It is an arithmetic number, because the mean of its divisors is an integer number (156870168).

Almost surely, 2^49049516880 is an apocalyptic number.

49049516880 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 49049516880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112946520960).

49049516880 is an abundant number, since it is smaller than the sum of its proper divisors (176843525040).

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

49049516880 is a wasteful number, since it uses less digits than its factorization.

49049516880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 49049516880 in words is "forty-nine billion, forty-nine million, five hundred sixteen thousand, eight hundred eighty".