54214195968 has 288 divisors, whose sum is σ = 163921605120. Its totient is φ = 17669836800.

The previous prime is 54214195913. The next prime is 54214195969. The reversal of 54214195968 is 86959141245.

54214195968 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 41 + 9 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (3110400) is a multiple of the sum of its prime factors (960).

It is not an unprimeable number, because it can be changed into a prime (54214195969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77338018 + ... + 77338718.

It is an arithmetic number, because the mean of its divisors is an integer number (569172240).

Almost surely, 2^54214195968 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 54214195968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81960802560).

54214195968 is an abundant number, since it is smaller than the sum of its proper divisors (109707409152).

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

54214195968 is a wasteful number, since it uses less digits than its factorization.

54214195968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 940 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 54214195968 in words is "fifty-four billion, two hundred fourteen million, one hundred ninety-five thousand, nine hundred sixty-eight".