10065107594160 has 360 divisors, whose sum is σ = 34416201128400. Its totient is φ = 2636097260544.

The previous prime is 10065107594119. The next prime is 10065107594189. The reversal of 10065107594160 is 6149570156001.

10065107594160 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 51 + 0 + 7 + 594 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10065107594160² (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1127991459 + ... + 1128000381.

It is an arithmetic number, because the mean of its divisors is an integer number (95600558690).

Almost surely, 2^{10065107594160} is an apocalyptic number.

10065107594160 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 10065107594160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17208100564200).

10065107594160 is an abundant number, since it is smaller than the sum of its proper divisors (24351093534240).

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

10065107594160 is a wasteful number, since it uses less digits than its factorization.

10065107594160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9425 (or 9349 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 10065107594160 in words is "ten trillion, sixty-five billion, one hundred seven million, five hundred ninety-four thousand, one hundred sixty".