49805733120 has 432 divisors, whose sum is σ = 187929709632. Its totient is φ = 11143741440.

The previous prime is 49805733097. The next prime is 49805733137. The reversal of 49805733120 is 2133750894.

It is a super-2 number, since 2×49805733120² (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 47 ways as a sum of consecutive naturals, for example, 7135072 + ... + 7142048.

It is an arithmetic number, because the mean of its divisors is an integer number (435022476).

Almost surely, 2^49805733120 is an apocalyptic number.

49805733120 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 49805733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93964854816).

49805733120 is an abundant number, since it is smaller than the sum of its proper divisors (138123976512).

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

49805733120 is a wasteful number, since it uses less digits than its factorization.

49805733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 49805733120 in words is "forty-nine billion, eight hundred five million, seven hundred thirty-three thousand, one hundred twenty".