54509886144 has 672 divisors, whose sum is σ = 202738329600. Its totient is φ = 14265538560.

The previous prime is 54509886091. The next prime is 54509886187. The reversal of 54509886144 is 44168890545.

54509886144 is a `hidden beast` number, since 5 + 450 + 98 + 8 + 61 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 49871262 + ... + 49872354.

Almost surely, 2^54509886144 is an apocalyptic number.

54509886144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54509886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101369164800).

54509886144 is an abundant number, since it is smaller than the sum of its proper divisors (148228443456).

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

54509886144 is a wasteful number, since it uses less digits than its factorization.

54509886144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 54509886144 in words is "fifty-four billion, five hundred nine million, eight hundred eighty-six thousand, one hundred forty-four".