8003826000000 has 1792 divisors, whose sum is σ = 32273024400000. Its totient is φ = 1945036800000.

The previous prime is 8003825999999. The next prime is 8003826000031. The reversal of 8003826000000 is 6283008.

It is a super-2 number, since 2×8003826000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 29753999866 + ... + 29754000134.

Almost surely, 2^{8003826000000} is an apocalyptic number.

8003826000000 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 8003826000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16136512200000).

8003826000000 is an abundant number, since it is smaller than the sum of its proper divisors (24269198400000).

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

8003826000000 is an equidigital number, since it uses as much as digits as its factorization.

8003826000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 8003826000000 in words is "eight trillion, three billion, eight hundred twenty-six million", and thus it is an aban number.