48828225600 has 1512 divisors, whose sum is σ = 229371131808. Its totient is φ = 10102579200.

The previous prime is 48828225587. The next prime is 48828225617. The reversal of 48828225600 is 652282884.

48828225600 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 82 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 209563084 + ... + 209563316.

It is an arithmetic number, because the mean of its divisors is an integer number (151700484).

Almost surely, 2^48828225600 is an apocalyptic number.

48828225600 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 48828225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114685565904).

48828225600 is an abundant number, since it is smaller than the sum of its proper divisors (180542906208).

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

48828225600 is a wasteful number, since it uses less digits than its factorization.

48828225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 48828225600 in words is "forty-eight billion, eight hundred twenty-eight million, two hundred twenty-five thousand, six hundred".