8780102102016 has 264 divisors, whose sum is σ = 29565438375200. Its totient is φ = 2508599697408.

The previous prime is 8780102101997. The next prime is 8780102102027. The reversal of 8780102102016 is 6102012010878.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1772310 + ... + 4549866.

Almost surely, 2^{8780102102016} 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 8780102102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14782719187600).

8780102102016 is an abundant number, since it is smaller than the sum of its proper divisors (20785336273184).

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

8780102102016 is a wasteful number, since it uses less digits than its factorization.

8780102102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777604 (or 2777569 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 8780102102016 in words is "eight trillion, seven hundred eighty billion, one hundred two million, one hundred two thousand, sixteen".