54102717216 has 144 divisors (see below), whose sum is σ = 154888965504. Its totient is φ = 17913457152.

The previous prime is 54102717181. The next prime is 54102717217. The reversal of 54102717216 is 61271720145.

54102717216 is a `hidden beast` number, since 5 + 410 + 27 + 1 + 7 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54102717217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30968055 + ... + 30969801.

It is an arithmetic number, because the mean of its divisors is an integer number (1075617816).

Almost surely, 2^54102717216 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 54102717216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77444482752).

54102717216 is an abundant number, since it is smaller than the sum of its proper divisors (100786248288).

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

54102717216 is a wasteful number, since it uses less digits than its factorization.

54102717216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 54102717216 in words is "fifty-four billion, one hundred two million, seven hundred seventeen thousand, two hundred sixteen".