48969780019200 has 1620 divisors, whose sum is σ = 189451788153264. Its totient is φ = 12067799040000.

The previous prime is 48969780019159. The next prime is 48969780019201. The reversal of 48969780019200 is 291008796984.

48969780019200 is a `hidden beast` number, since 489 + 69 + 7 + 8 + 0 + 0 + 1 + 92 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48969780019201) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 81480498900 + ... + 81480499500.

Almost surely, 2^{48969780019200} is an apocalyptic number.

48969780019200 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 48969780019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94725894076632).

48969780019200 is an abundant number, since it is smaller than the sum of its proper divisors (140482008134064).

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

48969780019200 is a wasteful number, since it uses less digits than its factorization.

48969780019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 48969780019200 in words is "forty-eight trillion, nine hundred sixty-nine billion, seven hundred eighty million, nineteen thousand, two hundred".