8016830026200 has 480 divisors, whose sum is σ = 29135677042560. Its totient is φ = 2040509491200.

The previous prime is 8016830026181. The next prime is 8016830026211. The reversal of 8016830026200 is 26200386108.

8016830026200 is a `hidden beast` number, since 80 + 16 + 8 + 300 + 262 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 36551262 + ... + 36769938.

It is an arithmetic number, because the mean of its divisors is an integer number (60699327172).

Almost surely, 2^{8016830026200} 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 8016830026200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14567838521280).

8016830026200 is an abundant number, since it is smaller than the sum of its proper divisors (21118847016360).

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

8016830026200 is a wasteful number, since it uses less digits than its factorization.

8016830026200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218809 (or 218791 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 8016830026200 in words is "eight trillion, sixteen billion, eight hundred thirty million, twenty-six thousand, two hundred".