48248265600 has 960 divisors, whose sum is σ = 191224479600. Its totient is φ = 11943936000.

The previous prime is 48248265521. The next prime is 48248265629. The reversal of 48248265600 is 656284284.

48248265600 is a `hidden beast` number, since 4 + 8 + 2 + 4 + 82 + 6 + 560 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 477705550 + ... + 477705650.

Almost surely, 2^48248265600 is an apocalyptic number.

48248265600 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 48248265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95612239800).

48248265600 is an abundant number, since it is smaller than the sum of its proper divisors (142976214000).

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

48248265600 is a wasteful number, since it uses less digits than its factorization.

48248265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 48248265600 in words is "forty-eight billion, two hundred forty-eight million, two hundred sixty-five thousand, six hundred".