48775286400 has 192 divisors, whose sum is σ = 160797312480. Its totient is φ = 12995112960.

The previous prime is 48775286377. The next prime is 48775286437. The reversal of 48775286400 is 468257784.

It is a tau number, because it is divible by the number of its divisors (192).

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, 19073922 + ... + 19076478.

Almost surely, 2^48775286400 is an apocalyptic number.

48775286400 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 48775286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80398656240).

48775286400 is an abundant number, since it is smaller than the sum of its proper divisors (112022026080).

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

48775286400 is a wasteful number, since it uses less digits than its factorization.

48775286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 48775286400 in words is "forty-eight billion, seven hundred seventy-five million, two hundred eighty-six thousand, four hundred".