48295288800 has 576 divisors, whose sum is σ = 191770225920. Its totient is φ = 11632896000.

The previous prime is 48295288781. The next prime is 48295288813. The reversal of 48295288800 is 888259284.

It is a happy number.

48295288800 is a `hidden beast` number, since 482 + 9 + 5 + 2 + 88 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43005039 + ... + 43006161.

It is an arithmetic number, because the mean of its divisors is an integer number (332934420).

Almost surely, 2^48295288800 is an apocalyptic number.

48295288800 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 48295288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95885112960).

48295288800 is an abundant number, since it is smaller than the sum of its proper divisors (143474937120).

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

48295288800 is a wasteful number, since it uses less digits than its factorization.

48295288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 48295288800 in words is "forty-eight billion, two hundred ninety-five million, two hundred eighty-eight thousand, eight hundred".