54116311316106 has 192 divisors, whose sum is σ = 124518239314560. Its totient is φ = 15582466437120.

The previous prime is 54116311316099. The next prime is 54116311316113. The reversal of 54116311316106 is 60161311361145.

It is an interprime number because it is at equal distance from previous prime (54116311316099) and next prime (54116311316113).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2734103746 + ... + 2734123538.

It is an arithmetic number, because the mean of its divisors is an integer number (648532496430).

Almost surely, 2^{54116311316106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54116311316106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62259119657280).

54116311316106 is an abundant number, since it is smaller than the sum of its proper divisors (70401927998454).

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

54116311316106 is a wasteful number, since it uses less digits than its factorization.

54116311316106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21029 (or 21010 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 54116311316106 in words is "fifty-four trillion, one hundred sixteen billion, three hundred eleven million, three hundred sixteen thousand, one hundred six".