54290543054080 has 288 divisors, whose sum is σ = 135835633533600. Its totient is φ = 20764400025600.

The previous prime is 54290543054071. The next prime is 54290543054089. The reversal of 54290543054080 is 8045034509245.

It is an interprime number because it is at equal distance from previous prime (54290543054071) and next prime (54290543054089).

It can be written as a sum of positive squares in 16 ways, for example, as 17340095252736 + 36950447801344 = 4164144^2 + 6078688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54290543054089) 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, 1619194756 + ... + 1619228284.

It is an arithmetic number, because the mean of its divisors is an integer number (471651505325).

Almost surely, 2^{54290543054080} 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 54290543054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67917816766800).

54290543054080 is an abundant number, since it is smaller than the sum of its proper divisors (81545090479520).

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

54290543054080 is a wasteful number, since it uses less digits than its factorization.

54290543054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34001 (or 33987 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 49.

The spelling of 54290543054080 in words is "fifty-four trillion, two hundred ninety billion, five hundred forty-three million, fifty-four thousand, eighty".