54597927638016 has 198 divisors, whose sum is σ = 183389162305050. Its totient is φ = 15599407767552.

The previous prime is 54597927637993. The next prime is 54597927638113. The reversal of 54597927638016 is 61083672979545.

54597927638016 is a `hidden beast` number, since 5 + 4 + 5 + 97 + 92 + 76 + 380 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47973687100416 + 6624240537600 = 6926304^2 + 2573760^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 59999991 + ... + 60903158.

It is a 1-persistent number, because it is pandigital, but 2⋅54597927638016 = 109195855276032 is not.

Almost surely, 2^{54597927638016} is an apocalyptic number.

54597927638016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

54597927638016 is an abundant number, since it is smaller than the sum of its proper divisors (128791234667034).

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

54597927638016 is a wasteful number, since it uses less digits than its factorization.

54597927638016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120903189 (or 120903161 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 54597927638016 in words is "fifty-four trillion, five hundred ninety-seven billion, nine hundred twenty-seven million, six hundred thirty-eight thousand, sixteen".