8067991152000 has 1024 divisors, whose sum is σ = 30790315745280. Its totient is φ = 1853153280000.

The previous prime is 8067991151999. The next prime is 8067991152019. The reversal of 8067991152000 is 2511997608.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 588425145 + ... + 588438855.

It is an arithmetic number, because the mean of its divisors is an integer number (30068667720).

Almost surely, 2^{8067991152000} is an apocalyptic number.

8067991152000 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 8067991152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15395157872640).

8067991152000 is an abundant number, since it is smaller than the sum of its proper divisors (22722324593280).

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

8067991152000 is a wasteful number, since it uses less digits than its factorization.

8067991152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13820 (or 13798 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 8067991152000 in words is "eight trillion, sixty-seven billion, nine hundred ninety-one million, one hundred fifty-two thousand".