8042587123296 has 288 divisors, whose sum is σ = 23654758385664. Its totient is φ = 2390324428800.

The previous prime is 8042587123283. The next prime is 8042587123297. The reversal of 8042587123296 is 6923217852408.

It is a super-4 number, since 4×8042587123296⁴ (a number of 53 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8042587123297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159148785 + ... + 159199311.

It is an arithmetic number, because the mean of its divisors is an integer number (82134577728).

It is a 1-persistent number, because it is pandigital, but 2⋅8042587123296 = 16085174246592 is not.

Almost surely, 2^{8042587123296} 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 8042587123296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11827379192832).

8042587123296 is an abundant number, since it is smaller than the sum of its proper divisors (15612171262368).

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

8042587123296 is a wasteful number, since it uses less digits than its factorization.

8042587123296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50826 (or 50807 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 8042587123296 in words is "eight trillion, forty-two billion, five hundred eighty-seven million, one hundred twenty-three thousand, two hundred ninety-six".