52117105113216 has 384 divisors, whose sum is σ = 181874959418880. Its totient is φ = 14107944960000.

The previous prime is 52117105113179. The next prime is 52117105113221. The reversal of 52117105113216 is 61231150171125.

52117105113216 is a `hidden beast` number, since 5 + 2 + 117 + 1 + 0 + 511 + 3 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4116 + ... + 10209516.

It is an arithmetic number, because the mean of its divisors is an integer number (473632706820).

Almost surely, 2^{52117105113216} 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 52117105113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90937479709440).

52117105113216 is an abundant number, since it is smaller than the sum of its proper divisors (129757854305664).

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

52117105113216 is a wasteful number, since it uses less digits than its factorization.

52117105113216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10205476 (or 10205461 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 52117105113216 in words is "fifty-two trillion, one hundred seventeen billion, one hundred five million, one hundred thirteen thousand, two hundred sixteen".