10576166020416 has 896 divisors, whose sum is σ = 34466354841600. Its totient is φ = 3168308183040.

The previous prime is 10576166020403. The next prime is 10576166020417. The reversal of 10576166020416 is 61402066167501.

10576166020416 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 616 + 6 + 0 + 20 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×10576166020416² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10576166020417) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8006181036 + ... + 8006182356.

Almost surely, 2^{10576166020416} is an apocalyptic number.

10576166020416 is a gapful number since it is divisible by the number (16) 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 10576166020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17233177420800).

10576166020416 is an abundant number, since it is smaller than the sum of its proper divisors (23890188821184).

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

10576166020416 is a wasteful number, since it uses less digits than its factorization.

10576166020416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10576166020416 in words is "ten trillion, five hundred seventy-six billion, one hundred sixty-six million, twenty thousand, four hundred sixteen".