8003892215880 has 1024 divisors, whose sum is σ = 31294306713600. Its totient is φ = 1801046016000.

The previous prime is 8003892215801. The next prime is 8003892215881. The reversal of 8003892215880 is 885122983008.

8003892215880 is a `hidden beast` number, since 8 + 0 + 0 + 38 + 9 + 2 + 21 + 588 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8003892215881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 967467424 + ... + 967475696.

It is an arithmetic number, because the mean of its divisors is an integer number (30560846400).

Almost surely, 2^{8003892215880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8003892215880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15647153356800).

8003892215880 is an abundant number, since it is smaller than the sum of its proper divisors (23290414497720).

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

8003892215880 is a wasteful number, since it uses less digits than its factorization.

8003892215880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8443 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 8003892215880 in words is "eight trillion, three billion, eight hundred ninety-two million, two hundred fifteen thousand, eight hundred eighty".