54071260066224 has 160 divisors (see below), whose sum is σ = 157501914470400. Its totient is φ = 17757499415040.

The previous prime is 54071260066223. The next prime is 54071260066279. The reversal of 54071260066224 is 42266006217045.

54071260066224 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 12 + 6 + 0 + 0 + 6 + 622 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54071260066224.

It is not an unprimeable number, because it can be changed into a prime (54071260066223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28048729 + ... + 29914439.

It is an arithmetic number, because the mean of its divisors is an integer number (984386965440).

Almost surely, 2^{54071260066224} is an apocalyptic number.

54071260066224 is a gapful number since it is divisible by the number (54) 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 54071260066224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78750957235200).

54071260066224 is an abundant number, since it is smaller than the sum of its proper divisors (103430654404176).

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

54071260066224 is a wasteful number, since it uses less digits than its factorization.

54071260066224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866720 (or 1866708 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 54071260066224 in words is "fifty-four trillion, seventy-one billion, two hundred sixty million, sixty-six thousand, two hundred twenty-four".