54035805537216 has 336 divisors, whose sum is σ = 162679726984320. Its totient is φ = 17782026163200.

The previous prime is 54035805537211. The next prime is 54035805537221. The reversal of 54035805537216 is 61273550853045.

54035805537216 is a `hidden beast` number, since 5 + 4 + 0 + 3 + 5 + 8 + 0 + 553 + 72 + 16 = 666.

54035805537216 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54035805537211) and next prime (54035805537221).

It is a super-3 number, since 3×54035805537216³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54035805537211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545001375 + ... + 545100513.

It is an arithmetic number, because the mean of its divisors is an integer number (484165854120).

Almost surely, 2^{54035805537216} 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 54035805537216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81339863492160).

54035805537216 is an abundant number, since it is smaller than the sum of its proper divisors (108643921447104).

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

54035805537216 is a wasteful number, since it uses less digits than its factorization.

54035805537216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99614 (or 99592 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 54035805537216 in words is "fifty-four trillion, thirty-five billion, eight hundred five million, five hundred thirty-seven thousand, two hundred sixteen".