8072002533504 has 512 divisors, whose sum is σ = 26626657075200. Its totient is φ = 2109806051328.

The previous prime is 8072002533499. The next prime is 8072002533527. The reversal of 8072002533504 is 4053352002708.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2141680932 + ... + 2141684700.

It is an arithmetic number, because the mean of its divisors is an integer number (52005189600).

Almost surely, 2^{8072002533504} is an apocalyptic number.

8072002533504 is a gapful number since it is divisible by the number (84) 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 8072002533504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313328537600).

8072002533504 is an abundant number, since it is smaller than the sum of its proper divisors (18554654541696).

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

8072002533504 is a wasteful number, since it uses less digits than its factorization.

8072002533504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 8072002533504 in words is "eight trillion, seventy-two billion, two million, five hundred thirty-three thousand, five hundred four".