8016008000000 has 1890 divisors, whose sum is σ = 27719009039799. Its totient is φ = 2306304000000.

The previous prime is 8016007999997. The next prime is 8016008000003. The reversal of 8016008000000 is 8006108.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (8016007999997) and next prime (8016008000003).

It can be written as a sum of positive squares in 11 ways, for example, as 8008356649216 + 7651350784 = 2829904^2 + 87472^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2002000.

It is a self number, because there is not a number n which added to its sum of digits gives 8016008000000.

It is not an unprimeable number, because it can be changed into a prime (8016008000003) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 616615999994 + ... + 616616000006.

Almost surely, 2^{8016008000000} is an apocalyptic number.

8016008000000 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 8016008000000

8016008000000 is an abundant number, since it is smaller than the sum of its proper divisors (19703001039799).

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

8016008000000 is an frugal number, since it uses more digits than its factorization.

8016008000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The spelling of 8016008000000 in words is "eight trillion, sixteen billion, eight million", and thus it is an aban number and an uban number.