54246088028160 has 2496 divisors, whose sum is σ = 239330986352640. Its totient is φ = 11083972608000.

The previous prime is 54246088028071. The next prime is 54246088028161. The reversal of 54246088028160 is 6182088064245.

54246088028160 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 608 + 8 + 0 + 28 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54246088028097 and 54246088028106.

It is not an unprimeable number, because it can be changed into a prime (54246088028161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31158004890 + ... + 31158006630.

It is an arithmetic number, because the mean of its divisors is an integer number (95885811840).

Almost surely, 2^{54246088028160} 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 54246088028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119665493176320).

54246088028160 is an abundant number, since it is smaller than the sum of its proper divisors (185084898324480).

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

54246088028160 is a wasteful number, since it uses less digits than its factorization.

54246088028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 54246088028160 in words is "fifty-four trillion, two hundred forty-six billion, eighty-eight million, twenty-eight thousand, one hundred sixty".