8381910070800 has 720 divisors, whose sum is σ = 33981519686400. Its totient is φ = 1912467271680.

The previous prime is 8381910070771. The next prime is 8381910070817. The reversal of 8381910070800 is 80700191838.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×8381910070800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 732230677 + ... + 732242123.

It is an arithmetic number, because the mean of its divisors is an integer number (47196555120).

Almost surely, 2^{8381910070800} is an apocalyptic number.

8381910070800 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 8381910070800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16990759843200).

8381910070800 is an abundant number, since it is smaller than the sum of its proper divisors (25599609615600).

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

8381910070800 is a wasteful number, since it uses less digits than its factorization.

8381910070800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12085 (or 12057 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 8381910070800 in words is "eight trillion, three hundred eighty-one billion, nine hundred ten million, seventy thousand, eight hundred".