10161661000 has 64 divisors (see below), whose sum is σ = 23800898160. Its totient is φ = 4060800000.

The previous prime is 10161660979. The next prime is 10161661067. The reversal of 10161661000 is 16616101.

It can be written as a sum of positive squares in 8 ways, for example, as 617796 + 10161043204 = 786^2 + 100802^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1196770 + ... + 1205230.

Almost surely, 2^10161661000 is an apocalyptic number.

10161661000 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 10161661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11900449080).

10161661000 is an abundant number, since it is smaller than the sum of its proper divisors (13639237160).

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

10161661000 is a wasteful number, since it uses less digits than its factorization.

10161661000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9683 (or 9669 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 10161661000 in words is "ten billion, one hundred sixty-one million, six hundred sixty-one thousand".