8026032478500 has 576 divisors, whose sum is σ = 26480060006400. Its totient is φ = 2044167840000.

The previous prime is 8026032478493. The next prime is 8026032478511. The reversal of 8026032478500 is 58742306208.

8026032478500 is a `hidden beast` number, since 80 + 2 + 60 + 3 + 2 + 4 + 7 + 8 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 3636624397 + ... + 3636626603.

It is an arithmetic number, because the mean of its divisors is an integer number (45972326400).

Almost surely, 2^{8026032478500} 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 8026032478500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13240030003200).

8026032478500 is an abundant number, since it is smaller than the sum of its proper divisors (18454027527900).

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

8026032478500 is a wasteful number, since it uses less digits than its factorization.

8026032478500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 8026032478500 in words is "eight trillion, twenty-six billion, thirty-two million, four hundred seventy-eight thousand, five hundred".