8126208000 has 288 divisors, whose sum is σ = 29298840480. Its totient is φ = 2166374400.

The previous prime is 8126207977. The next prime is 8126208011. The reversal of 8126208000 is 8026218.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2302237 + ... + 2305763.

It is an arithmetic number, because the mean of its divisors is an integer number (101732085).

Almost surely, 2^8126208000 is an apocalyptic number.

8126208000 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 8126208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14649420240).

8126208000 is an abundant number, since it is smaller than the sum of its proper divisors (21172632480).

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

8126208000 is a wasteful number, since it uses less digits than its factorization.

8126208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8126208000 is about 90145.4824159259. The cubic root of 8126208000 is about 2010.4625058797.

The spelling of 8126208000 in words is "eight billion, one hundred twenty-six million, two hundred eight thousand".