8106218554720 has 384 divisors, whose sum is σ = 23552038379520. Its totient is φ = 2596091904000.

The previous prime is 8106218554711. The next prime is 8106218554723. The reversal of 8106218554720 is 274558126018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8106218554723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50278396 + ... + 50439364.

It is an arithmetic number, because the mean of its divisors is an integer number (61333433280).

Almost surely, 2^{8106218554720} is an apocalyptic number.

8106218554720 is a gapful number since it is divisible by the number (80) 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 8106218554720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11776019189760).

8106218554720 is an abundant number, since it is smaller than the sum of its proper divisors (15445819824800).

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

8106218554720 is a wasteful number, since it uses less digits than its factorization.

8106218554720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161110 (or 161102 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 8106218554720 in words is "eight trillion, one hundred six billion, two hundred eighteen million, five hundred fifty-four thousand, seven hundred twenty".