48280096800288 has 192 divisors, whose sum is σ = 142990895013120. Its totient is φ = 15846599172096.

The previous prime is 48280096800283. The next prime is 48280096800307. The reversal of 48280096800288 is 88200869008284.

It is not an unprimeable number, because it can be changed into a prime (48280096800281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15048045 + ... + 17972307.

It is an arithmetic number, because the mean of its divisors is an integer number (744744244860).

Almost surely, 2^{48280096800288} is an apocalyptic number.

48280096800288 is a gapful number since it is divisible by the number (48) 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 48280096800288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71495447506560).

48280096800288 is an abundant number, since it is smaller than the sum of its proper divisors (94710798212832).

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

48280096800288 is a wasteful number, since it uses less digits than its factorization.

48280096800288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924576 (or 2924562 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 48280096800288 in words is "forty-eight trillion, two hundred eighty billion, ninety-six million, eight hundred thousand, two hundred eighty-eight".