54005760000 has 480 divisors, whose sum is σ = 195620795370. Its totient is φ = 14352384000.

The previous prime is 54005759939. The next prime is 54005760013. The reversal of 54005760000 is 6750045.

54005760000 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 57 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 7598260224 + 46407499776 = 87168^2 + 215424^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×54005760000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 184319854 + ... + 184320146.

Almost surely, 2^54005760000 is an apocalyptic number.

54005760000 is a gapful number since it is divisible by the number (50) 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 54005760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97810397685).

54005760000 is an abundant number, since it is smaller than the sum of its proper divisors (141615035370).

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

54005760000 is an frugal number, since it uses more digits than its factorization.

54005760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 54005760000 in words is "fifty-four billion, five million, seven hundred sixty thousand".