54538850016 has 432 divisors, whose sum is σ = 195321200256. Its totient is φ = 14661679104.

The previous prime is 54538849957. The next prime is 54538850017. The reversal of 54538850016 is 61005883545.

54538850016 is a `hidden beast` number, since 5 + 4 + 53 + 88 + 500 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×54538850016² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54538850017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15729115 + ... + 15732581.

It is an arithmetic number, because the mean of its divisors is an integer number (452132408).

Almost surely, 2^54538850016 is an apocalyptic number.

54538850016 is a gapful number since it is divisible by the number (56) 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 54538850016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97660600128).

54538850016 is an abundant number, since it is smaller than the sum of its proper divisors (140782350240).

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

54538850016 is a wasteful number, since it uses less digits than its factorization.

54538850016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 54538850016 in words is "fifty-four billion, five hundred thirty-eight million, eight hundred fifty thousand, sixteen".