49834355200 has 480 divisors, whose sum is σ = 150943731840. Its totient is φ = 15925248000.

The previous prime is 49834355191. The next prime is 49834355227. The reversal of 49834355200 is 255343894.

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 47 ways as a sum of consecutive naturals, for example, 124275000 + ... + 124275400.

It is an arithmetic number, because the mean of its divisors is an integer number (314466108).

Almost surely, 2^49834355200 is an apocalyptic number.

49834355200 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 49834355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75471865920).

49834355200 is an abundant number, since it is smaller than the sum of its proper divisors (101109376640).

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

49834355200 is a wasteful number, since it uses less digits than its factorization.

49834355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 49834355200 in words is "forty-nine billion, eight hundred thirty-four million, three hundred fifty-five thousand, two hundred".