48128042288360 has 128 divisors (see below), whose sum is σ = 117522412509600. Its totient is φ = 17666652733440.

The previous prime is 48128042288303. The next prime is 48128042288399. The reversal of 48128042288360 is 6388224082184.

It can be written as a sum of positive squares in 16 ways, for example, as 10024607139556 + 38103435148804 = 3166166^2 + 6172798^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48128042288296 and 48128042288305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47817986 + ... + 48814094.

Almost surely, 2^{48128042288360} is an apocalyptic number.

48128042288360 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 48128042288360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58761206254800).

48128042288360 is an abundant number, since it is smaller than the sum of its proper divisors (69394370221240).

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

48128042288360 is a wasteful number, since it uses less digits than its factorization.

48128042288360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997911 (or 997907 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 56.

The spelling of 48128042288360 in words is "forty-eight trillion, one hundred twenty-eight billion, forty-two million, two hundred eighty-eight thousand, three hundred sixty".