48830779200 has 672 divisors, whose sum is σ = 188472064000. Its totient is φ = 10839121920.

The previous prime is 48830779199. The next prime is 48830779219. The reversal of 48830779200 is 297703884.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48830779200.

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 95 ways as a sum of consecutive naturals, for example, 245380701 + ... + 245380899.

Almost surely, 2^48830779200 is an apocalyptic number.

48830779200 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 48830779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94236032000).

48830779200 is an abundant number, since it is smaller than the sum of its proper divisors (139641284800).

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

48830779200 is a wasteful number, since it uses less digits than its factorization.

48830779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 48830779200 in words is "forty-eight billion, eight hundred thirty million, seven hundred seventy-nine thousand, two hundred".