48605222400 has 960 divisors, whose sum is σ = 200040529920. Its totient is φ = 10152345600.

The previous prime is 48605222377. The next prime is 48605222423. The reversal of 48605222400 is 422250684.

It is an interprime number because it is at equal distance from previous prime (48605222377) and next prime (48605222423).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158323047 + ... + 158323353.

It is an arithmetic number, because the mean of its divisors is an integer number (208375552).

Almost surely, 2^48605222400 is an apocalyptic number.

48605222400 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 48605222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100020264960).

48605222400 is an abundant number, since it is smaller than the sum of its proper divisors (151435307520).

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

48605222400 is a wasteful number, since it uses less digits than its factorization.

48605222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 48605222400 in words is "forty-eight billion, six hundred five million, two hundred twenty-two thousand, four hundred".