8026435487616 has 512 divisors, whose sum is σ = 27183563366400. Its totient is φ = 2040971821056.

The previous prime is 8026435487573. The next prime is 8026435487617. The reversal of 8026435487616 is 6167845346208.

It is a happy number.

It is a super-2 number, since 2×8026435487616² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8026435487616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8026435487617) by changing a digit.

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, 767120401 + ... + 767130863.

It is an arithmetic number, because the mean of its divisors is an integer number (53092897200).

Almost surely, 2^{8026435487616} 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 8026435487616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13591781683200).

8026435487616 is an abundant number, since it is smaller than the sum of its proper divisors (19157127878784).

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

8026435487616 is a wasteful number, since it uses less digits than its factorization.

8026435487616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11286 (or 11274 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 8026435487616 in words is "eight trillion, twenty-six billion, four hundred thirty-five million, four hundred eighty-seven thousand, six hundred sixteen".