49856319200 has 144 divisors (see below), whose sum is σ = 128510993520. Its totient is φ = 18834923520.

The previous prime is 49856319193. The next prime is 49856319269. The reversal of 49856319200 is 291365894.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5117534 + ... + 5127266.

It is an arithmetic number, because the mean of its divisors is an integer number (892437455).

Almost surely, 2^49856319200 is an apocalyptic number.

49856319200 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 49856319200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64255496760).

49856319200 is an abundant number, since it is smaller than the sum of its proper divisors (78654674320).

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

49856319200 is a wasteful number, since it uses less digits than its factorization.

49856319200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10109 (or 10096 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The spelling of 49856319200 in words is "forty-nine billion, eight hundred fifty-six million, three hundred nineteen thousand, two hundred".