866958190000 has 200 divisors, whose sum is σ = 2481573267360. Its totient is φ = 286992384000.

The previous prime is 866958189917. The next prime is 866958190009. The reversal of 866958190000 is 91859668.

866958190000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×866958190000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 866958190000.

It is not an unprimeable number, because it can be changed into a prime (866958190009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1816464 + ... + 2243536.

Almost surely, 2^866958190000 is an apocalyptic number.

866958190000 is a gapful number since it is divisible by the number (80) 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 866958190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240786633680).

866958190000 is an abundant number, since it is smaller than the sum of its proper divisors (1614615077360).

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

866958190000 is a wasteful number, since it uses less digits than its factorization.

866958190000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427137 (or 427116 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 52.

The spelling of 866958190000 in words is "eight hundred sixty-six billion, nine hundred fifty-eight million, one hundred ninety thousand".