48768000000 has 392 divisors, whose sum is σ = 163827902976. Its totient is φ = 12902400000.

The previous prime is 48767999963. The next prime is 48768000023. The reversal of 48768000000 is 86784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 383999937 + ... + 384000063.

Almost surely, 2^48768000000 is an apocalyptic number.

48768000000 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 48768000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81913951488).

48768000000 is an abundant number, since it is smaller than the sum of its proper divisors (115059902976).

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

48768000000 is an frugal number, since it uses more digits than its factorization.

48768000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

Adding to 48768000000 its reverse (86784), we get a palindrome (48768086784).

It can be divided in two parts, 48 and 768000000, that multiplied together give a square (36864000000 = 192000²).

The spelling of 48768000000 in words is "forty-eight billion, seven hundred sixty-eight million", and thus it is an aban number.