48000552652800 has 1248 divisors, whose sum is σ = 192740908613760. Its totient is φ = 11613870489600.

The previous prime is 48000552652771. The next prime is 48000552652813. The reversal of 48000552652800 is 825625500084.

It is a happy number.

48000552652800 is a `hidden beast` number, since 48 + 0 + 0 + 0 + 5 + 526 + 5 + 2 + 80 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 19859557192 + ... + 19859559608.

It is an arithmetic number, because the mean of its divisors is an integer number (154439830620).

Almost surely, 2^{48000552652800} is an apocalyptic number.

48000552652800 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 48000552652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96370454306880).

48000552652800 is an abundant number, since it is smaller than the sum of its proper divisors (144740355960960).

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

48000552652800 is a wasteful number, since it uses less digits than its factorization.

48000552652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 48000552652800 in words is "forty-eight trillion, five hundred fifty-two million, six hundred fifty-two thousand, eight hundred".