8516840432256 has 640 divisors, whose sum is σ = 27619709095440. Its totient is φ = 2589604577280.

The previous prime is 8516840432227. The next prime is 8516840432281. The reversal of 8516840432256 is 6522340486158.

8516840432256 is a `hidden beast` number, since 8 + 5 + 1 + 6 + 8 + 404 + 3 + 225 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 119688321600 + 8397152110656 = 345960^2 + 2897784^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7021302306 + ... + 7021303518.

Almost surely, 2^{8516840432256} 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 8516840432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13809854547720).

8516840432256 is an abundant number, since it is smaller than the sum of its proper divisors (19102868663184).

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

8516840432256 is a wasteful number, since it uses less digits than its factorization.

8516840432256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 8516840432256 in words is "eight trillion, five hundred sixteen billion, eight hundred forty million, four hundred thirty-two thousand, two hundred fifty-six".