48809779200 has 1344 divisors, whose sum is σ = 222976561920. Its totient is φ = 10192158720.

The previous prime is 48809779181. The next prime is 48809779201. The reversal of 48809779200 is 297790884.

48809779200 is a `hidden beast` number, since 488 + 0 + 9 + 77 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48809779201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 503193552 + ... + 503193648.

It is an arithmetic number, because the mean of its divisors is an integer number (165905180).

Almost surely, 2^48809779200 is an apocalyptic number.

48809779200 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 48809779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111488280960).

48809779200 is an abundant number, since it is smaller than the sum of its proper divisors (174166782720).

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

48809779200 is a wasteful number, since it uses less digits than its factorization.

48809779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 48809779200 in words is "forty-eight billion, eight hundred nine million, seven hundred seventy-nine thousand, two hundred".