54127284986880 has 1584 divisors, whose sum is σ = 225027546911856. Its totient is φ = 11985978654720.

The previous prime is 54127284986813. The next prime is 54127284986911. The reversal of 54127284986880 is 8868948272145.

54127284986880 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 72 + 8 + 498 + 68 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 631986840576 + 53495298146304 = 794976^2 + 7314048^2 .

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 = 54127284986799 and 54127284986808.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21470560020 + ... + 21470562540.

Almost surely, 2^{54127284986880} 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 54127284986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112513773455928).

54127284986880 is an abundant number, since it is smaller than the sum of its proper divisors (170900261924976).

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

54127284986880 is a wasteful number, since it uses less digits than its factorization.

54127284986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 54127284986880 in words is "fifty-four trillion, one hundred twenty-seven billion, two hundred eighty-four million, nine hundred eighty-six thousand, eight hundred eighty".