54405955584 has 340 divisors, whose sum is σ = 167540719324. Its totient is φ = 17581473792.

The previous prime is 54405955579. The next prime is 54405955633. The reversal of 54405955584 is 48555950445.

54405955584 is a `hidden beast` number, since 5 + 4 + 4 + 0 + 5 + 9 + 55 + 584 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29859840000 + 24546115584 = 172800^2 + 156672^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 54405955584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 196411254 + ... + 196411530.

Almost surely, 2^54405955584 is an apocalyptic number.

54405955584 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 54405955584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83770359662).

54405955584 is an abundant number, since it is smaller than the sum of its proper divisors (113134763740).

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

54405955584 is an frugal number, since it uses more digits than its factorization.

54405955584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 14400000, while the sum is 54.

The spelling of 54405955584 in words is "fifty-four billion, four hundred five million, nine hundred fifty-five thousand, five hundred eighty-four".