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54055118880 = 2533572377719
BaseRepresentation
bin110010010101111011…
…111010100000100000
312011112012020112222000
4302111323322200200
51341201102301010
640455500444000
73622351633530
oct622573724040
9164465215860
1054055118880
1120a19783974
12a586b49600
135135c1c759
14288b1114c0
1516158a67c0
hexc95efa820

54055118880 has 384 divisors, whose sum is σ = 225624268800. Its totient is φ = 11818109952.

The previous prime is 54055118867. The next prime is 54055118891. The reversal of 54055118880 is 8881155045.

54055118880 is a `hidden beast` number, since 5 + 4 + 0 + 551 + 18 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 656661 + ... + 734379.

It is an arithmetic number, because the mean of its divisors is an integer number (587563200).

Almost surely, 254055118880 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 54055118880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112812134400).

54055118880 is an abundant number, since it is smaller than the sum of its proper divisors (171569149920).

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

54055118880 is a wasteful number, since it uses less digits than its factorization.

54055118880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77773 (or 77759 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 45.

The spelling of 54055118880 in words is "fifty-four billion, fifty-five million, one hundred eighteen thousand, eight hundred eighty".