54487589042880 has 1680 divisors, whose sum is σ = 249110859070656. Its totient is φ = 11211958517760.

The previous prime is 54487589042867. The next prime is 54487589042893. The reversal of 54487589042880 is 8824098578445.

54487589042880 is a `hidden beast` number, since 5 + 4 + 48 + 7 + 5 + 89 + 0 + 428 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (54487589042867) and next prime (54487589042893).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 54487589042799 and 54487589042808.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 496546420 + ... + 496656140.

Almost surely, 2^{54487589042880} 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 54487589042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124555429535328).

54487589042880 is an abundant number, since it is smaller than the sum of its proper divisors (194623270027776).

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

54487589042880 is a wasteful number, since it uses less digits than its factorization.

54487589042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109804 (or 109778 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 72.

The spelling of 54487589042880 in words is "fifty-four trillion, four hundred eighty-seven billion, five hundred eighty-nine million, forty-two thousand, eight hundred eighty".