54800141760 has 840 divisors, whose sum is σ = 244276290720. Its totient is φ = 11558744064.

The previous prime is 54800141723. The next prime is 54800141771. The reversal of 54800141760 is 6714100845.

It is a happy number.

54800141760 is a `hidden beast` number, since 5 + 480 + 0 + 1 + 4 + 176 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-3 number, since 3×54800141760³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16509381 + ... + 16512699.

It is an arithmetic number, because the mean of its divisors is an integer number (290805108).

Almost surely, 2^54800141760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54800141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122138145360).

54800141760 is an abundant number, since it is smaller than the sum of its proper divisors (189476148960).

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

54800141760 is a wasteful number, since it uses less digits than its factorization.

54800141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 54800141760 in words is "fifty-four billion, eight hundred million, one hundred forty-one thousand, seven hundred sixty".