49851809280 has 1440 divisors, whose sum is σ = 224291358720. Its totient is φ = 10006364160.

The previous prime is 49851809261. The next prime is 49851809351. The reversal of 49851809280 is 8290815894.

49851809280 is a `hidden beast` number, since 49 + 8 + 518 + 0 + 9 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 844945891 + ... + 844945949.

It is an arithmetic number, because the mean of its divisors is an integer number (155757888).

Almost surely, 2^49851809280 is an apocalyptic number.

49851809280 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 49851809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112145679360).

49851809280 is an abundant number, since it is smaller than the sum of its proper divisors (174439549440).

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

49851809280 is a wasteful number, since it uses less digits than its factorization.

49851809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 49851809280 in words is "forty-nine billion, eight hundred fifty-one million, eight hundred nine thousand, two hundred eighty".