54123514020000 has 180 divisors, whose sum is σ = 192330613885410. Its totient is φ = 14432937024000.

The previous prime is 54123514019999. The next prime is 54123514020011. The reversal of 54123514020000 is 2041532145.

54123514020000 is a `hidden beast` number, since 5 + 4 + 123 + 514 + 0 + 20 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 34137735696 + 54089376284304 = 184764^2 + 7354548^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 150163095 + ... + 150523094.

Almost surely, 2^{54123514020000} is an apocalyptic number.

54123514020000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54123514020000 is an abundant number, since it is smaller than the sum of its proper divisors (138207099865410).

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

54123514020000 is a wasteful number, since it uses less digits than its factorization.

54123514020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300686225 (or 300686199 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 54123514020000 its reverse (2041532145), we get a palindrome (54125555552145).

The spelling of 54123514020000 in words is "fifty-four trillion, one hundred twenty-three billion, five hundred fourteen million, twenty thousand".