10166737581 has 48 divisors (see below), whose sum is σ = 19717326720. Its totient is φ = 4875154560.

The previous prime is 10166737513. The next prime is 10166737619. The reversal of 10166737581 is 18573766101.

10166737581 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 67 + 3 + 7 + 581 = 666.

10166737581 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10166737581 - 2¹³ = 10166729389 is a prime.

It is a super-2 number, since 2×10166737581² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166737501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555246 + ... + 573263.

It is an arithmetic number, because the mean of its divisors is an integer number (410777640).

Almost surely, 2^10166737581 is an apocalyptic number.

10166737581 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10166737581 is a deficient number, since it is larger than the sum of its proper divisors (9550589139).

10166737581 is a wasteful number, since it uses less digits than its factorization.

10166737581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128546 (or 1128543 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

It can be divided in two parts, 10166 and 737581, that added together give a palindrome (747747).

The spelling of 10166737581 in words is "ten billion, one hundred sixty-six million, seven hundred thirty-seven thousand, five hundred eighty-one".