8521783951680 has 784 divisors, whose sum is σ = 30980056635648. Its totient is φ = 2231276544000.

The previous prime is 8521783951651. The next prime is 8521783951739. The reversal of 8521783951680 is 861593871258.

8521783951680 is a `hidden beast` number, since 8 + 5 + 2 + 1 + 7 + 8 + 39 + 516 + 80 = 666.

It is a super-2 number, since 2×8521783951680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4654168365 + ... + 4654170195.

Almost surely, 2^{8521783951680} is an apocalyptic number.

8521783951680 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 8521783951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15490028317824).

8521783951680 is an abundant number, since it is smaller than the sum of its proper divisors (22458272683968).

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

8521783951680 is a wasteful number, since it uses less digits than its factorization.

8521783951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 8521783951680 in words is "eight trillion, five hundred twenty-one billion, seven hundred eighty-three million, nine hundred fifty-one thousand, six hundred eighty".