8005152988800 has 1152 divisors, whose sum is σ = 31846824172800. Its totient is φ = 1898407526400.

The previous prime is 8005152988787. The next prime is 8005152988813. The reversal of 8005152988800 is 88892515008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8005152988787) and next prime (8005152988813).

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2734932937 + ... + 2734935863.

It is an arithmetic number, because the mean of its divisors is an integer number (27644812650).

Almost surely, 2^{8005152988800} is an apocalyptic number.

8005152988800 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 8005152988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923412086400).

8005152988800 is an abundant number, since it is smaller than the sum of its proper divisors (23841671184000).

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

8005152988800 is a wasteful number, since it uses less digits than its factorization.

8005152988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 54.

The spelling of 8005152988800 in words is "eight trillion, five billion, one hundred fifty-two million, nine hundred eighty-eight thousand, eight hundred".