10071130366080 has 384 divisors, whose sum is σ = 39862988081280. Its totient is φ = 2295138779136.

The previous prime is 10071130366013. The next prime is 10071130366103. The reversal of 10071130366080 is 8066303117001.

10071130366080 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 1 + 13 + 0 + 36 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13217247 + ... + 13958433.

It is an arithmetic number, because the mean of its divisors is an integer number (103809864795).

Almost surely, 2^{10071130366080} is an apocalyptic number.

10071130366080 is a gapful number since it is divisible by the number (10) 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 10071130366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19931494040640).

10071130366080 is an abundant number, since it is smaller than the sum of its proper divisors (29791857715200).

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

10071130366080 is a wasteful number, since it uses less digits than its factorization.

10071130366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741556 (or 741541 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10071130366080 in words is "ten trillion, seventy-one billion, one hundred thirty million, three hundred sixty-six thousand, eighty".