54256884480 has 864 divisors, whose sum is σ = 213419501568. Its totient is φ = 13138329600.

The previous prime is 54256884469. The next prime is 54256884551. The reversal of 54256884480 is 8448865245.

54256884480 is a `hidden beast` number, since 5 + 4 + 25 + 68 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163917915 + ... + 163918245.

It is an arithmetic number, because the mean of its divisors is an integer number (247013312).

Almost surely, 2^54256884480 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 54256884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106709750784).

54256884480 is an abundant number, since it is smaller than the sum of its proper divisors (159162617088).

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

54256884480 is a wasteful number, since it uses less digits than its factorization.

54256884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 54256884480 in words is "fifty-four billion, two hundred fifty-six million, eight hundred eighty-four thousand, four hundred eighty".