8285106268640 has 384 divisors, whose sum is σ = 20976401924352. Its totient is φ = 3085593477120.

The previous prime is 8285106268633. The next prime is 8285106268679. The reversal of 8285106268640 is 468626015828.

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 63 ways as a sum of consecutive naturals, for example, 12310707344 + ... + 12310708016.

It is an arithmetic number, because the mean of its divisors is an integer number (54626046678).

Almost surely, 2^{8285106268640} is an apocalyptic number.

8285106268640 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 8285106268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10488200962176).

8285106268640 is an abundant number, since it is smaller than the sum of its proper divisors (12691295655712).

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

8285106268640 is a wasteful number, since it uses less digits than its factorization.

8285106268640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 8285106268640 in words is "eight trillion, two hundred eighty-five billion, one hundred six million, two hundred sixty-eight thousand, six hundred forty".