890177680217 has 36 divisors (see below), whose sum is σ = 1062639877248. Its totient is φ = 743519649600.

The previous prime is 890177680193. The next prime is 890177680219. The reversal of 890177680217 is 712086771098.

It is not a de Polignac number, because 890177680217 - 2¹⁶ = 890177614681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (890177680219) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75032228 + ... + 75044090.

It is an arithmetic number, because the mean of its divisors is an integer number (29517774368).

Almost surely, 2^890177680217 is an apocalyptic number.

It is an amenable number.

890177680217 is a deficient number, since it is larger than the sum of its proper divisors (172462197031).

890177680217 is a wasteful number, since it uses less digits than its factorization.

890177680217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12870 (or 12822 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 56.

The spelling of 890177680217 in words is "eight hundred ninety billion, one hundred seventy-seven million, six hundred eighty thousand, two hundred seventeen".