10090133577 has 24 divisors (see below), whose sum is σ = 14993058080. Its totient is φ = 6706674720.

The previous prime is 10090133561. The next prime is 10090133591. The reversal of 10090133577 is 77533109001.

It is not a de Polignac number, because 10090133577 - 2⁴ = 10090133561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10090134577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12471949 + ... + 12472757.

Almost surely, 2^10090133577 is an apocalyptic number.

It is an amenable number.

10090133577 is a deficient number, since it is larger than the sum of its proper divisors (4902924503).

10090133577 is an frugal number, since it uses more digits than its factorization.

10090133577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 36.

The spelling of 10090133577 in words is "ten billion, ninety million, one hundred thirty-three thousand, five hundred seventy-seven".