55681284384 has 864 divisors, whose sum is σ = 196758761472. Its totient is φ = 15430694400.

The previous prime is 55681284371. The next prime is 55681284389. The reversal of 55681284384 is 48348218655.

55681284384 is a `hidden beast` number, since 556 + 8 + 1 + 2 + 8 + 4 + 3 + 84 = 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 self number, because there is not a number n which added to its sum of digits gives 55681284384.

It is not an unprimeable number, because it can be changed into a prime (55681284389) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 670858807 + ... + 670858889.

It is an arithmetic number, because the mean of its divisors is an integer number (227730048).

Almost surely, 2^55681284384 is an apocalyptic number.

55681284384 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 55681284384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98379380736).

55681284384 is an abundant number, since it is smaller than the sum of its proper divisors (141077477088).

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

55681284384 is a wasteful number, since it uses less digits than its factorization.

55681284384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 55681284384 in words is "fifty-five billion, six hundred eighty-one million, two hundred eighty-four thousand, three hundred eighty-four".