48084044765760 has 448 divisors, whose sum is σ = 170652643200000. Its totient is φ = 12745209544704.

The previous prime is 48084044765741. The next prime is 48084044765777. The reversal of 48084044765760 is 6756744048084.

48084044765760 is a `hidden beast` number, since 4 + 8 + 0 + 84 + 0 + 447 + 6 + 57 + 60 = 666.

It is a super-3 number, since 3×48084044765760³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2082720937 + ... + 2082744023.

Almost surely, 2^{48084044765760} is an apocalyptic number.

48084044765760 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 48084044765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85326321600000).

48084044765760 is an abundant number, since it is smaller than the sum of its proper divisors (122568598434240).

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

48084044765760 is a wasteful number, since it uses less digits than its factorization.

48084044765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24555 (or 24539 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 48084044765760 in words is "forty-eight trillion, eighty-four billion, forty-four million, seven hundred sixty-five thousand, seven hundred sixty".